1. Nilai dari
= ...
a. -3
b. -1
c. 0
d. 2
e. 3
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdjyuNf-GS093tw9Y8_8tgXYRtsASJOSRo1rmXz745S4Eyg3DJg150RvHHe9yuZauwi_zWO3ZohBbSryIVlmQcx7riI8cYEu9RBBiPIBm3IZbN21lj2m_dk3phAPxMB4NHNL3OoBzaf9c/s1600/a.png)
Jawaban : A
2. Nilai x yang memenuhi persamaan
adalah ...
a. x = -1 atau x = 3
b. x = 1 atau x = -3
c. x = 1 atau x = 3
d. x = 1 saja
e. x = 3 saja
pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLvm4KpAp5hBJjdCAl-BCv_blXkg1ssajfj4s_fwuRMgt-J4-f6r6ndbpQUGUAc5wdyTgHhTELZGnXQBNvqzV1DTE3hV60I3boGoQSRGU6np2ZRwrfqFBERCgA762ooTjxrIy9mf_PqSQ/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkkt_YRP2fKf-XbpNdD0kvCcAfGL2A0UYtLwbgpvaqylVvUUcVFydD05oTr5cfmUsRcMLBjt-TqeliLdzWpsM-u0vfe9GiOgzaWWWhl-cmbrhzADYEQOBd1OlToACO5YPGdZRsPVphuD4/s1600/a.png)
= (x + 1) (x – 3) = 0
x = -1 atau x = 3
x = -1 tidak mungkin
jadi, x = 3 saja
jawaban: E
3. diketahui
= ...
a. p2 + q
b. 2p + q
c. 2(p + q)
d. p2 + q2
e. p + 2q
pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-4OGfx3RL1C2XPFWtcgAdljuDPFBS-d1XQ9hNycU98fWtR_PM0WW1qFKjP05TtgQegY8G1Jfz4EESDMRXdfxJGzGL1QXGD7QOrEfPoRyAR5-AAAZ-sZxwKf5qjeu3vyHYGyBzmRNKAOo/s1600/a.png)
= 2.p + q
= 2p + q
Jawaban: B
4. jika
= ...
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhT52CgEiLSR1dDCQeluzVBpqdgitwMCPgW4S1v2eHtr-s7a7PKEwvRiX5F3pcAuxrT8tpEP-lU4zEqoPkatJh0ASrGKkCuD9-V1HGkiwHhQcj0V-6CFhupeW3YvzMz0zU1guRqhJzZxwI/s1600/a.png)
Jawaban: C
5. Nilai dari
= ...
a. 6
b. 12
c. 16
d. 24
e. 48
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjaqJ4xJ4GW75860PlXFeztea2ze8FJZ_f9QMjVAIPnmccpm2tMHwbFPuFTcvDw0ho1B4qtUn8DVID7tvIB_dtiN7cf7ZgLpy4aaTj2rIy5uHdUGeHXilHrD7c07F-DipfRr2u1j4byzJk/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCcBPutd4nJ1EXZCyZKpK16wXqXHaoZZYhn5mf_nZOfODw7-aYEC2VwUM_g4ynbNQ4cUIvNWLawdaaVuOyLZc6K65hvAvpDo1YiWvO8pv7A2OUmXg6flR1l1k5yjyJseOhVJV_h2qdjOk/s1600/a.png)
Jawaban: E
6. Diketahui
= ...
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhFGMExlNMbB0GGvUjKrWrO9MN5W3pmprRgIeKB2xht2LCgSRz5FexTjL8S3G36f-K28JR69RqgAmsXsfP5qD5HAPAvj_Apoi27NngZjuLjZ73wG9g1Uth01gAMH_IFcfOEdHINEGMU7Zc/s1600/a.png)
Jawaban: A
7. Diketahui
= ...
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgYXKXjI7X6xOVecDxoM08ShmFQu1RxaE_2srEu2m15kj42EhwjS2KNSnf0rM6GUumBqUC42W_tVHMrUzZ-o3OlxjNW3NQPN_g6dKeHzSrz_cFw5mYWdJAJVQfrfXb2dIeujDKLeBSTEGU/s1600/a.png)
Jawaban: A
8. Persamaan
dipenuhi oleh x = ...
a. 6
b. 3 atau 5
c. 3
d. 5
e. 6
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkewoLndD_oZYuiqfk01ESdHHSeABnFfGW7FalljUxgeW74W21V7LoN1JDPEXAG_fugF5O2knR8pVrk4h3nIT2UR61CRP6MhGmW0nP_hT2VP-L_B2s8Y521RIu5u5d2rXfyJQXWJ9fxbs/s320/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiTwUbD4ZQ80Hln0hNutDJDqB5c_WM6dlHA-lKGZxSRpDMK5N9CGzWH59E6_MMus7Mr66OhK-qh4G_QhKYonhi7dsTsPabZ8e1sAHHpP-d-RhuwuHD7DHSbpkWd75ep5rOqvoeI-Dc9EkE/s1600/a.png)
= (x – 3) (x – 5)
x = 3 atau x = 5
syarat domain x – 3 > 0 maka HP = {5}
jawaban: D
9. Jika b = a4, a dan b positif maka
adalah ...
a. 0
b. 1
c. 2
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiEKNIrEISm_NiIe2P8xdED2Dzc4RF39ry4_BFP2Xhh6C2zd1PboEOvHtHULS7aCnDEKuN9ASAdKPmztb2Zuqmj7O4cieHJehI_2hnRBdGPHkzPCzT_RROySNAsJ8nicllW7Wz4LFWzL4s/s1600/a.png)
Pembahasan:
Karena![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIuAMrzDfpigRQZz-rGzAbTiyna3l6w01Ub53IabCS0FIKTxY_LBgkdba8H2XXIf37T2CFnvAnRfl_wbVzH0bY9w4HyP-BScKfMemdDgKLjxiF_tiHjyw_FTnQoAJ_koiDFY4YAVtLCjA/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDyQU-iYFNJ5aJ3vVwv8T5F1t4tjRo_XB7GcxZEQu1vUWeZJ-jCMvGQBG8AmerY55GCrZa8gr4RGBlGSIXYPTQZCKCXT1PzfzpDesbca0EYgtPuilCwsDmr0l97leyEhlHo1fiWMMnczA/s1600/a.png)
= 4 – ¼
= 16/4 – ¼
= 15/4
= 3 3/4
Jawaban: D
10. Jika a =
maka ab = ...
a. 4/3
b. 2/3
c. 4/9
d. – 2/3
e. – 4/3
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_JdiRD6X_2-t-k3iVY1HAxmyPfranHdodIVbM6TFSdYDFi747NaxTIkFxJgZOXN5ChNtgxUx1pa1gmXAw21PvO3lPYWgfpgszLe2nREqmb4J-GDy2l3KDzVMWEKpz-mKOxtxsXwHaGfo/s1600/a.png)
Jawaban: D
11. Nilai dari
adalah ...
a. -2
b. -1
c. 1
d. 2
e. 3
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiiqb1ftIzxHf2_D-UBDH4LHhE6uqCBeTs7J0se4RKpsQJcqh7gqLUbCTCsJMfc3XTfKqLiA5SPIkrz-gYRH3jrXy6tNrRinGbJHmQoEivca_EW3qrCWdyZ7y2lnw44SIsnvVfoRTGLcGE/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEggQEQovShp0qfhpifL-rb86vgsrMUTfGJYbh7xfAl4HkRsyENNxIanJMkTbdE1LGf7MrtZzZtfPhXQ2a8aZa11hmET7IN_tJ6TiQQ0iAqIWk4N2SHOWx2kJ6_mrfY3BJ3CVNnMzi2NLzU/s1600/a.png)
Jawaban: D
12. Himpunan penyelesaian dari:
adalah ...
a. {x∣ -2 < x ≤3}
b. {x∣ x < 3}
c. {x∣ -3 < x < 2}
d. {x∣x ≤ -2 atau x ≥3}
e. {x∣ -2 ≤ x ≤ 3}
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlY4JMygYuaJICV51lF9RrTdO6v85VwnZqTi2fk3Njso3Ejuy7qkfzLbmVuDbGI4mvM6zqy5_CsD1xLNrQhyVkBw4IUe-SBy4-DP0pMTfbBU0t18IjGRm0rOjUtVJsiFXsMaskpoBgCEo/s1600/a.png)
(x – 3) (x + 2) ≤ 0
x = 3 dan x = -2
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgtAlDBdVxkw3UwNSkZ0tHYFLxUflLjoxSwPiEICtGqydU7F7_fzENuq5ZR4aUU1tBhHmAeIUE53e7MwMW6L7OXy9jyrEPlbB7NAwc9wAJ8Pe4mb49jXNX8Foky6Ndc_er38kLqpE1TABI/s320/a.png)
HP = { -2 < x ≤ 3}
Jawaban: A
13. Jika
, maka nilai x adalah ...
a. 36
b. 39
c. 42
d. 45
e. 48
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbhrNDxPRbhfJQ8QlkXNm_jj3zqbU5jaEv0MrkO_bnp_pY8pF8WXafGmwCwUFbOqC7_V82N9hbvqwFrPo0Oan0BZstno1UNwYaFPBY3hb6DqSKgd2VLpjxExKTEH1Wh1sJmBjNE8ghFEU/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjoMmfA7T6lOa1t_FVB1TD8DP0RYqKHzVRI8jHTdc_FMTHD0k9-J9H3Ot6HsftDqz2zYwJ_DMUfCbG3TC0wp3nfEFYGBhqRzWM7Aq74Fr-RjmM0IJ3aPgnFHaMPdXaYXo9WOEYZlBU1KRg/s1600/a.png)
3x – 1 = 125
3x = 126
x = 126 : 3
x = 42
jawaban: C
14. Bilangan
merupakan tiga suku berurutan dari deret aritmatika. Jika jumlah tiga bilangan itu adalah 6, maka x + y = ...
a. 2
b. 3
c. 4
d. 5
e. 6
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0jdf9xwMXAr0WegMphUCHD7HVPnOSYUPeH0nZMSGKoQsklkZL2S7dt7L5qXdGQWdKPVr8sNOhni9ZybcLrEnP01M5z99QQEsFVVwF47juDdjdqurvOm0vXsWsQ1ewEibKxqdmICnAbao/s1600/a.png)
x (2x – 6) = 0
x = 0 (tidak mungkin) dan x = 3
maka deret aritmatika tersebut menjadi:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQosW2NwVZI8gSOj7i5x1cP1WF4eTOk_9OdkyRCtrG2-jbEMOoaHx6XaZ5xKNV3_6_RLjfZtCzDiF60qRVK1vkWby2diBylVGjmiExXkI5W0wAm9TRyAWFcsZwZpYqWkuEo_j2Ewgdrzw/s1600/a.png)
hasil penjumlahan deret tersebut:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEikfD1d8F2w4KlmAtONI-PXtYqROCTvwaH15E3mxzr9zI9ynIDTMacoQLwlizURE5heWdAljkTpy32M2Hpjd0vc4jVuJtHCtYAPw2fM9Mwrdfx3lRY0lSeBfwPU1850IikKozc08EuD_RU/s1600/a.png)
pada soal diketahui hasil penjumlahan ketiga suku tersebut 6, maka:
ylog 64 = 6
y^6=64
y = 2
sehingga nilai dari x + y = 3 + 2 = 5
jawaban: D
15. Himpunan penyelesaian pertidaksamaan
adalah ...
a. {x∣ 1< x < 3}
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgxHME7JY5d0byvjGMxZmtrvxeCN8F2cB1gyrWe-MZ2kO1xfnKFnkjMId-s84xswqzDubCdIyIFs6X-GjhyQSM69zMhJqZ7174KH1tm6gNq5hiF54sjoSXBXXmXdLdW7ZoTXv3AMFDXSL4/s1600/a.png)
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMiYqZuLQxN0deRC5KJXKCMtXKeCtBlWdhhXtmB1D15ge4MlL9btYtAe6b7sljuyMdl_L6_wwDvR5_9PkIwwhpfxD2w4IUz5myJb-ExlBeX0OmSBfp4tWlCPZrmTrhSaMbv0lrcJb4CLk/s1600/a.png)
(p – 3) (p – 1) < 0
p = 3 atau p = 1
untuk p = 3, maka:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWqzlP7t-ivcqHLeBvCraVzsl8sZ1wCuE3LkJxInIhL7Au1C-K9rYk__2t840RrsOtQ0boCYA3t2qpQGVy_UyufcuTNXPxdQhhk7OpO_gqo4cpoJ7VKH7-L6UnSWwBjy1To8ejUrLx1yI/s1600/a.png)
untuk p = 1, maka:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhiemfMF1CHQi2fR53knt1e7IK9tPdDi1oQ0Ztq8KwbxdgANOCW8qxL7UJNW9UlEzYmhNd3i1Fxw49kS-ZCnSdzd7Qjvz4YNA1i8uLXud5R2RZIXb5yYQCgOpdXziXiwPdYb6dFGTMv048/s1600/a.png)
daerah hasilnya:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjD8o1X9lBGZTUF9-3lCb_KwjVL0Fl_Cf52X3AebS0-XH7XVE0IZVSUWJYKQ_ERG5bikxm_ZLDc99qjFALPbN3Tqnlb536SFZqZjLOXC1TvXFmUO_g4PFyLSbkGqyeGsSFY191jV0jftfM/s320/a.png)
HP = { x < 0 atau x < 2 log √3 }
Jawaban: C
16. Nilai maksimum fungsi :
adalah ...
a. 4
b. 8
c. 12
d. 15
e. 16
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgFbIFcwkwjrHYKq8Gk5K06BgOZFBTJcbYmxnubg721mYBONGF5Uc64C5-8lpGiyHu6jdSy9q92CNPvSXLntLxRG8QMl3WRbwS5x16ceB1oNz0L9B-HzU6SLwMWUcKuBdS521sgUg_SDaQ/s1600/a.png)
f(x) akan mencapai nilai maksimum apabila
mencapai maksimum. Titik maksimumnya:
x = -b/2a = - 2/(2.-1) = 1
jadi, f(x) akan maksimum ketika x = 1, sehingga:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMf6dieXy9nNXvzjvFrvzIz4K1HYzqTpV_cmhNZ-YnI5Ta3xiIOJAPz4OGyqdijvcAuMRswmLcmG-_9kIxCqwj3TLviiq7MPiBK-q3_UcS5Csx0ZoANqG_o4ywPVI6xTvHt1ew8epwdug/s1600/a.png)
Jawaban: A
17. Diketahui
. Jika akar-akar persamaan di atas adalah x1 dan x2, maka x1 + x2 = ...
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhz439Dgyws_6A0G84nuAMGUryoFuYxaFALCcdVVBI3-GgqWqGc9oYF5ugcxtpjtVdPP9GT_lce6S2VWx1QuwfQy2duz21p_Ec1QtZlnaqYVJiohqTuuR_QcuFtknpUxm3p7lKv7WKowZI/s1600/a.png)
Misalkan,
maka:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjB8tYJpNoW2o4z_DJ1s3Ia9_eDf6KaO1m26dH3gtvF8DANZwE7ITTMCCT4BPcYSCCTNN5uKe-kEY5Nrl-XzjiGYFHHGjtUt7bP1m1UslzIhZqN3m8-4uYtosiMaPkyNEo3aT9Tz7SVvOU/s1600/a.png)
(2p + 1) (p – 1) = 0
p = -1/2 dan p = 1
untuk p = -1/2, maka:
= - ½
x = 1/2
untuk p = 1, maka:
= 1
x = 4
jadi, x1 + x2 = ½ + 4 = 4 1/2
jawaban: B
18. Nilai x yang memenuhi
adalah ...
a. 16 atau 4
b. 16 atau ¼
c. 8 atau 2
d. 8 atau ½
e. 8 atau 4
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVJoq-rAqZV9GI1l4fnqnTwCumIg611KfUeoVzL44ihc5KyBNJwxQ6dbq6DhXxQpS4eTQrk_2wD2j9xJeNvXWoZ9VLjYL4O9IkdicUpx_Ew-YXMiMfPKt5ro02Qs3b9ZyJ2bwV4J_RMPM/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEga8fcGc1sPyPfy6f72y296BBwBCOr06US8jObnv7p2PwvTVqZO2I-bBoq5v7LfKd-S0WHkYlHMo1zETkz1CU32gaCXPOD2nJOj0c4Q7Ofn9vBRzR9fUfXvyCS-Vjk6F_uePoIJw_WafWU/s1600/a.png)
(2p – 3) (2p + 1) = 0
p = 3/2 atau p = - ½
untuk p = -1/2, maka:
= - ½
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGhDsVlHBmJ6d-WHb6tw4olm0seFVAfs_SqhtpcXsxE3mwTOX_wBI5IXuUGDW9cBivTkgyEb3i11SSPpYjXUlhcjP4SDz2Ef72kOHmjdZXW9OXTnbf6r5OELq-aFMirsz6OichDu5ePXg/s1600/a.png)
x = 1/2
untuk p = 3/2, maka:
= 3/2
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEiiG76s-m2HToAPkGu4Wz3TFJSc-kL_aeqL6qR1aOCTjbBDGhZoxHelPvzlX93zXKWbNvqOsCK8zs3VEJ0a2t-6sUuZiQZ6rbH5oepGNiX08Ku7Ni9SEja12J07jOVyT2yxzj8Ukxjm0/s1600/a.png)
x = 8
jadi, nilai x yang memenuhi adalah ½ dan 8
jawaban: D
19. Penyelesaian persamaan
adalah x1 dan x2, dengan x2 < x1. Nilai dari
adalah ...
a. 1
b. 2
c. 3
d. 4
e. 5
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxXmRlvHvuvd6jqOJD4RvSVMAd1rNLxnm26tteVZ18bL8USogeRQkMRbF_5ra44sqOnPd3CwMI29RxsWvre1-1Z0_hrJQ8xHTBWA2Jn1V1hZM_uyjiLUUPFDbmdfvUJVhM9bMMXsx9BL4/s1600/a.png)
(x – 6) (x – 2) = 0
x = 6 dan x = 2
sehingga nilai dari![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHXPFkMhmW3_RsoHiG7eX4ftLIO06azT50ENIXxq1wIG7PYb7d5IDZ8roJbxOidWJFIs18HR1wzDnLmrVdcVimHE7qqrz1JSg635WrWnNqkzAPZ1SD7cusIzDNuvkinRobv0agjP0758g/s1600/a.png)
jawaban: B
20. Semua nilai-nilai x yang memenuhi:
adalah ...
a. -2 < x < 3
b. x < -2 atau x > 3
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEik1xP510MhfN2UsaODU3mrNwPs26nshMn2Hb1LmZCUeunvkH_NJqIMqpbusA12u1aOnNahQlM84uGeb-KYEg-Mjic7_asTEfdm6JD9aXf8GQzUwf9A-PikILUOChhPzdqs8XNxlojinFQ/s1600/a.png)
e. Semua bilangan real
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHNO-0o0tSyoQpSbBKPSEe0zn8QEi572EK-LH32dqj5uYE9UfkRto6rNdsSA5pA3EbTxJO1ZZEh9sE_WhmxgnUPspGi9FwbMgAyblDsEYUx_RWRqexEesGzwDPBTPuwLPfCvjzCfHnL-U/s1600/a.png)
(-x – 2) (x – 3) = 0
x = -2 atau x = 3
kita subtitusikan x = -2 dan 3 pada persamaan
, sehingga diperoleh daerah hasil:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhWpS1QRIhShkcxGFibppVKRHc_kkg_oYRlVr-QFq2aCPwbQ99QSiiMs1-H6V5GZvtqMOfXgJTrvkGU-XxLnL_JJOkLU2ed1YX1kmCKV5vltQ_ibRjKL8Ry5rAL9H2wuUKy0uQE2PJHLI4/s1600/a.png)
HP = { -2 < x < 3}
Jawaban: A
21. Jika x1 dan x2 adalah akar-akar persamaan
adalah...
a. 49
b. 29
c. 20
d. 19
e. 9
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJlYEdqRuXZJT4dqP-oFmPO-P5LXlSzVqOKn2uLQTLLyGujISxX8iymcYDfLlrw4ML5grbGXxFDXMBtyrv36yM7xzl3lR4RousGUcZ9xWA91n7IaLsKS5IF35y79W7f4tTQ9-IUChkZaE/s1600/a.png)
(x + 5) (x + 2) = 0
x = -5 atau x = -2
maka hasil dari, (x1 + x2)2 – 4x1.x2 adalah:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhTLg9e5ZmX09TJWwFz2pZGBdz1WOLHSNdShY9RYbObJD4EWq25_ChaS56pe6ut5Ly9RaqpTdbAXr5JWzo_CzPdv-wcj5LygpZzqxkr-Xdn9GPaK28H5lEUL1DwCWoSnQ96CZfRGBW7zz4/s1600/a.png)
Jawaban: E
22. Jika
= ...
a. 3
b. 2
c. 1
d. -1
e. -3
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQABDZlNKv1jjVlQ4nMAXkTWffDezxLeL2tnskGshrlP2iDb_c0LOdSGTxC6an84SNpX-VuTfgLm0A0c6z3raLqOAyKdjSxNNZy3iQqDTbcrR4LYPyyf53YNag0ocWbCzMRVN35NNOslg/s1600/a.png)
Jawaban: D
23. Himpunan penyelesaian dari:
adalah ...
a. {x ∣ x < ½ atau x > 8}
b. {x ∣ x > ½ atau x < 8}
c. {x ∣ 0 < x < ½ atau x > 8}
d. {x ∣ x < 8}
e. {x ∣ x > ½ }
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbxmtdKwYM4ymCzweyjaVxdTt77Apu9jWktaF4QNKtWJsYMg-y_Yz6Jo-oqBnjzgAvV9vgVWgJtCtYUEPf2jUQmdtFena0TPulj8t_gk_W9OmNNnIAM-V2VBwC70-cuHhFcNmb5VH_5v4/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjn7DvXgY-H2b1ZkoEnMkKAxGgOgz4JaKoha2e4X5oMniIVfL6yibh7C4tADGw187VM08Q_OR0DOgZFPXjfv4kTpDcoyKToQoJwMpSIUpS7sFIwie3eCINnTHbF-5Fa9dL2mEKPu2jTHMc/s1600/a.png)
(2p + 1) (2p – 3) > 0
p < - ½ atau p > 3/2
untuk p < - ½ maka 4 log x < - ½ = x < ½
untuk p > 3/2 maka 4 log x > 3/2 = x > 8
karena syarat logaritma x > 0, maka:
HP = { 0 < x < ½ atau x > 8}
Jawaban: C
24. Jika
maka nilai a adalah ...
a. ∛2
b. ∛4
c. ∛5
d. ∛6
e. ∛7
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhWbncHlDtG7YjgSmq0ZhMMvTjFjx79VRtXZZXnGPCDn3-iRzSCVdYjvZ-mjLfstjxd1jWpdH1kQsJR3N9TgPp8vHRLnhhDDCWii1g52AJGGHLcQJVy278TbuBTnSETAgBGD14xl6cvltM/s1600/a.png)
a = ∛6
Jawaban: D
25. Jika log x + log 2x + log 4x + log 8x + ... + log 1024x = 22, maka x = ...
a. 5,5
b. 3,125
c. 2,75
d. 1,375
e. 0,625
Pembahasan:
log x + log 2x + log 4x + log 8x + ... + log 1024x = 22
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXYW9fIBoARQafcBc3Ha_zR5MjzO1gPtjbJr8rFc8ED2bt1Z_h2puPD3rtdoOthid-qNDUuzUTqBp-1aomYBa14Z9ww-YDWKscbpAxZXaBlChbXAyTFXksgGvDwl8RemuAxzwmAlZScoo/s1600/a.png)
Jawaban: B
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh6YQ5yavi_2eiyHde0Nk3sRrzhj9L6YFd0pLTjK3yhq43XbZggQLdEVKbafznvGVqwlzgiPsm_M7y-kDsmWGbUUe7a4N3tu1lmhDOuYqTiYSn6Fdc37RI7rsnRTO3hRa3YTmHhgfaimng/s1600/a.png)
a. -3
b. -1
c. 0
d. 2
e. 3
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdjyuNf-GS093tw9Y8_8tgXYRtsASJOSRo1rmXz745S4Eyg3DJg150RvHHe9yuZauwi_zWO3ZohBbSryIVlmQcx7riI8cYEu9RBBiPIBm3IZbN21lj2m_dk3phAPxMB4NHNL3OoBzaf9c/s1600/a.png)
Jawaban : A
2. Nilai x yang memenuhi persamaan
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLvm4KpAp5hBJjdCAl-BCv_blXkg1ssajfj4s_fwuRMgt-J4-f6r6ndbpQUGUAc5wdyTgHhTELZGnXQBNvqzV1DTE3hV60I3boGoQSRGU6np2ZRwrfqFBERCgA762ooTjxrIy9mf_PqSQ/s1600/a.png)
a. x = -1 atau x = 3
b. x = 1 atau x = -3
c. x = 1 atau x = 3
d. x = 1 saja
e. x = 3 saja
pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLvm4KpAp5hBJjdCAl-BCv_blXkg1ssajfj4s_fwuRMgt-J4-f6r6ndbpQUGUAc5wdyTgHhTELZGnXQBNvqzV1DTE3hV60I3boGoQSRGU6np2ZRwrfqFBERCgA762ooTjxrIy9mf_PqSQ/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkkt_YRP2fKf-XbpNdD0kvCcAfGL2A0UYtLwbgpvaqylVvUUcVFydD05oTr5cfmUsRcMLBjt-TqeliLdzWpsM-u0vfe9GiOgzaWWWhl-cmbrhzADYEQOBd1OlToACO5YPGdZRsPVphuD4/s1600/a.png)
= (x + 1) (x – 3) = 0
x = -1 atau x = 3
x = -1 tidak mungkin
jadi, x = 3 saja
jawaban: E
3. diketahui
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0Yludr3Pd1n5qzPW-x3V-gs1gW9U_SEQ4adeNi6qtF6QUHOzZ5PPUJdd1Ne5VUzuDOs-uULyrD_4RmVCa42qVuIVc3snKCQJ8yCWz1q59nMoj48-9ENRDrY_8jArsMPnZ56Mzm95uTVw/s1600/a.png)
a. p2 + q
b. 2p + q
c. 2(p + q)
d. p2 + q2
e. p + 2q
pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-4OGfx3RL1C2XPFWtcgAdljuDPFBS-d1XQ9hNycU98fWtR_PM0WW1qFKjP05TtgQegY8G1Jfz4EESDMRXdfxJGzGL1QXGD7QOrEfPoRyAR5-AAAZ-sZxwKf5qjeu3vyHYGyBzmRNKAOo/s1600/a.png)
= 2.p + q
= 2p + q
Jawaban: B
4. jika
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg6tJRUwxfDw-1Jk15Cz-tPetY3eaoJ8Z5PIO-w6GRS2SMxvbRALIM5UwQUHCYsDOnRLoWIzvFIiDKxNK8EEHZbIfgSJwOKmYQ898f0hC58q5WCual4rIMoy3ZMtGbtNQl1ohLOdqQbGAI/s1600/a.png)
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhT52CgEiLSR1dDCQeluzVBpqdgitwMCPgW4S1v2eHtr-s7a7PKEwvRiX5F3pcAuxrT8tpEP-lU4zEqoPkatJh0ASrGKkCuD9-V1HGkiwHhQcj0V-6CFhupeW3YvzMz0zU1guRqhJzZxwI/s1600/a.png)
Jawaban: C
5. Nilai dari
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjaqJ4xJ4GW75860PlXFeztea2ze8FJZ_f9QMjVAIPnmccpm2tMHwbFPuFTcvDw0ho1B4qtUn8DVID7tvIB_dtiN7cf7ZgLpy4aaTj2rIy5uHdUGeHXilHrD7c07F-DipfRr2u1j4byzJk/s1600/a.png)
a. 6
b. 12
c. 16
d. 24
e. 48
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjaqJ4xJ4GW75860PlXFeztea2ze8FJZ_f9QMjVAIPnmccpm2tMHwbFPuFTcvDw0ho1B4qtUn8DVID7tvIB_dtiN7cf7ZgLpy4aaTj2rIy5uHdUGeHXilHrD7c07F-DipfRr2u1j4byzJk/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCcBPutd4nJ1EXZCyZKpK16wXqXHaoZZYhn5mf_nZOfODw7-aYEC2VwUM_g4ynbNQ4cUIvNWLawdaaVuOyLZc6K65hvAvpDo1YiWvO8pv7A2OUmXg6flR1l1k5yjyJseOhVJV_h2qdjOk/s1600/a.png)
Jawaban: E
6. Diketahui
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgPsUF7uq4FK5PUX2Wx0M9JxuLFq2q7vNxD797j32s9mUXSrgdXlIWedIPDeM8UNxMxjPTqLiUKzpGWrBieoQgTJVw8gzfe-9TzEX8VIoK5cfT25Kp-kBzUlNFysNH0SqOhyrj0SzSWBgA/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFMoi-S9JXVcrxgDO7US0vJE-KMRpg-nAAKOz5vPxmAN0ADzt_ivtPxMQuZ0RlbAGB7fAuzCIsJu18cNmBkyr3GD6J1sX7bo5d9KDHi1ZiGoYV2chfmKir64O5Aj5o7l_VV2sF0iZc98o/s1600/a.png)
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhFGMExlNMbB0GGvUjKrWrO9MN5W3pmprRgIeKB2xht2LCgSRz5FexTjL8S3G36f-K28JR69RqgAmsXsfP5qD5HAPAvj_Apoi27NngZjuLjZ73wG9g1Uth01gAMH_IFcfOEdHINEGMU7Zc/s1600/a.png)
Jawaban: A
7. Diketahui
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiiY5_6bgaYsY0znI-empZqKR7kBTtwF6n18TGebNwrxtfaloNjTDNykkSkKtKBFei6FbNLhUwu7MOONPOy0ZGb-UFzuoitxp63INYNAa6tZfXvkcMKuY_Rgc18CuOEigmfyp8pJAjZMHY/s1600/a.png)
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgYXKXjI7X6xOVecDxoM08ShmFQu1RxaE_2srEu2m15kj42EhwjS2KNSnf0rM6GUumBqUC42W_tVHMrUzZ-o3OlxjNW3NQPN_g6dKeHzSrz_cFw5mYWdJAJVQfrfXb2dIeujDKLeBSTEGU/s1600/a.png)
Jawaban: A
8. Persamaan
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkewoLndD_oZYuiqfk01ESdHHSeABnFfGW7FalljUxgeW74W21V7LoN1JDPEXAG_fugF5O2knR8pVrk4h3nIT2UR61CRP6MhGmW0nP_hT2VP-L_B2s8Y521RIu5u5d2rXfyJQXWJ9fxbs/s320/a.png)
a. 6
b. 3 atau 5
c. 3
d. 5
e. 6
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkewoLndD_oZYuiqfk01ESdHHSeABnFfGW7FalljUxgeW74W21V7LoN1JDPEXAG_fugF5O2knR8pVrk4h3nIT2UR61CRP6MhGmW0nP_hT2VP-L_B2s8Y521RIu5u5d2rXfyJQXWJ9fxbs/s320/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiTwUbD4ZQ80Hln0hNutDJDqB5c_WM6dlHA-lKGZxSRpDMK5N9CGzWH59E6_MMus7Mr66OhK-qh4G_QhKYonhi7dsTsPabZ8e1sAHHpP-d-RhuwuHD7DHSbpkWd75ep5rOqvoeI-Dc9EkE/s1600/a.png)
= (x – 3) (x – 5)
x = 3 atau x = 5
syarat domain x – 3 > 0 maka HP = {5}
jawaban: D
9. Jika b = a4, a dan b positif maka
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDyQU-iYFNJ5aJ3vVwv8T5F1t4tjRo_XB7GcxZEQu1vUWeZJ-jCMvGQBG8AmerY55GCrZa8gr4RGBlGSIXYPTQZCKCXT1PzfzpDesbca0EYgtPuilCwsDmr0l97leyEhlHo1fiWMMnczA/s1600/a.png)
a. 0
b. 1
c. 2
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiEKNIrEISm_NiIe2P8xdED2Dzc4RF39ry4_BFP2Xhh6C2zd1PboEOvHtHULS7aCnDEKuN9ASAdKPmztb2Zuqmj7O4cieHJehI_2hnRBdGPHkzPCzT_RROySNAsJ8nicllW7Wz4LFWzL4s/s1600/a.png)
Pembahasan:
Karena
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIuAMrzDfpigRQZz-rGzAbTiyna3l6w01Ub53IabCS0FIKTxY_LBgkdba8H2XXIf37T2CFnvAnRfl_wbVzH0bY9w4HyP-BScKfMemdDgKLjxiF_tiHjyw_FTnQoAJ_koiDFY4YAVtLCjA/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDyQU-iYFNJ5aJ3vVwv8T5F1t4tjRo_XB7GcxZEQu1vUWeZJ-jCMvGQBG8AmerY55GCrZa8gr4RGBlGSIXYPTQZCKCXT1PzfzpDesbca0EYgtPuilCwsDmr0l97leyEhlHo1fiWMMnczA/s1600/a.png)
= 4 – ¼
= 16/4 – ¼
= 15/4
= 3 3/4
Jawaban: D
10. Jika a =
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-9cD1ul-Hnpv66wiXQHOTFET8jxVj_7nVMmXo7ZEJyzT-La_htkznfa2a-YuJdYCkymYXLNbVNQMyRCJYPL7bUtS2uS0WWdn4voZCNresPUICgc50CbtXZU8saCq5tBApWv5WwZqVzY4/s1600/a.png)
a. 4/3
b. 2/3
c. 4/9
d. – 2/3
e. – 4/3
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_JdiRD6X_2-t-k3iVY1HAxmyPfranHdodIVbM6TFSdYDFi747NaxTIkFxJgZOXN5ChNtgxUx1pa1gmXAw21PvO3lPYWgfpgszLe2nREqmb4J-GDy2l3KDzVMWEKpz-mKOxtxsXwHaGfo/s1600/a.png)
Jawaban: D
11. Nilai dari
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiiqb1ftIzxHf2_D-UBDH4LHhE6uqCBeTs7J0se4RKpsQJcqh7gqLUbCTCsJMfc3XTfKqLiA5SPIkrz-gYRH3jrXy6tNrRinGbJHmQoEivca_EW3qrCWdyZ7y2lnw44SIsnvVfoRTGLcGE/s1600/a.png)
a. -2
b. -1
c. 1
d. 2
e. 3
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiiqb1ftIzxHf2_D-UBDH4LHhE6uqCBeTs7J0se4RKpsQJcqh7gqLUbCTCsJMfc3XTfKqLiA5SPIkrz-gYRH3jrXy6tNrRinGbJHmQoEivca_EW3qrCWdyZ7y2lnw44SIsnvVfoRTGLcGE/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEggQEQovShp0qfhpifL-rb86vgsrMUTfGJYbh7xfAl4HkRsyENNxIanJMkTbdE1LGf7MrtZzZtfPhXQ2a8aZa11hmET7IN_tJ6TiQQ0iAqIWk4N2SHOWx2kJ6_mrfY3BJ3CVNnMzi2NLzU/s1600/a.png)
Jawaban: D
12. Himpunan penyelesaian dari:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEijGRMqKpUBxcSrD_Wz8KSvL81RJJnqHMv2G4W2N5X4atf1QsmC6GZM_euv8yhqvuxJJD044jo2Y2bIAtY6c8UiICl8xzdo8ss9B37Mc_r0PaxVu1V6GLDZX6yZ6w-6ZJYrU108_2MCAYg/s1600/a.png)
a. {x∣ -2 < x ≤3}
b. {x∣ x < 3}
c. {x∣ -3 < x < 2}
d. {x∣x ≤ -2 atau x ≥3}
e. {x∣ -2 ≤ x ≤ 3}
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlY4JMygYuaJICV51lF9RrTdO6v85VwnZqTi2fk3Njso3Ejuy7qkfzLbmVuDbGI4mvM6zqy5_CsD1xLNrQhyVkBw4IUe-SBy4-DP0pMTfbBU0t18IjGRm0rOjUtVJsiFXsMaskpoBgCEo/s1600/a.png)
(x – 3) (x + 2) ≤ 0
x = 3 dan x = -2
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgtAlDBdVxkw3UwNSkZ0tHYFLxUflLjoxSwPiEICtGqydU7F7_fzENuq5ZR4aUU1tBhHmAeIUE53e7MwMW6L7OXy9jyrEPlbB7NAwc9wAJ8Pe4mb49jXNX8Foky6Ndc_er38kLqpE1TABI/s320/a.png)
HP = { -2 < x ≤ 3}
Jawaban: A
13. Jika
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbhrNDxPRbhfJQ8QlkXNm_jj3zqbU5jaEv0MrkO_bnp_pY8pF8WXafGmwCwUFbOqC7_V82N9hbvqwFrPo0Oan0BZstno1UNwYaFPBY3hb6DqSKgd2VLpjxExKTEH1Wh1sJmBjNE8ghFEU/s1600/a.png)
a. 36
b. 39
c. 42
d. 45
e. 48
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbhrNDxPRbhfJQ8QlkXNm_jj3zqbU5jaEv0MrkO_bnp_pY8pF8WXafGmwCwUFbOqC7_V82N9hbvqwFrPo0Oan0BZstno1UNwYaFPBY3hb6DqSKgd2VLpjxExKTEH1Wh1sJmBjNE8ghFEU/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjoMmfA7T6lOa1t_FVB1TD8DP0RYqKHzVRI8jHTdc_FMTHD0k9-J9H3Ot6HsftDqz2zYwJ_DMUfCbG3TC0wp3nfEFYGBhqRzWM7Aq74Fr-RjmM0IJ3aPgnFHaMPdXaYXo9WOEYZlBU1KRg/s1600/a.png)
3x – 1 = 125
3x = 126
x = 126 : 3
x = 42
jawaban: C
14. Bilangan
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtMLuDRlEWOBQYdoBDTe2kDDNSKRveVefSo9ROL30EdEM2lCYuQ82x9_HLlOjVT6fuaPuxSRz5VStgSZU5yPMlwLL4SbCCcoK6ar1pm74p9VT0lYfLX-DvOPVILma1n6tdo4X22VM6Sgg/s1600/a.png)
a. 2
b. 3
c. 4
d. 5
e. 6
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0jdf9xwMXAr0WegMphUCHD7HVPnOSYUPeH0nZMSGKoQsklkZL2S7dt7L5qXdGQWdKPVr8sNOhni9ZybcLrEnP01M5z99QQEsFVVwF47juDdjdqurvOm0vXsWsQ1ewEibKxqdmICnAbao/s1600/a.png)
x (2x – 6) = 0
x = 0 (tidak mungkin) dan x = 3
maka deret aritmatika tersebut menjadi:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQosW2NwVZI8gSOj7i5x1cP1WF4eTOk_9OdkyRCtrG2-jbEMOoaHx6XaZ5xKNV3_6_RLjfZtCzDiF60qRVK1vkWby2diBylVGjmiExXkI5W0wAm9TRyAWFcsZwZpYqWkuEo_j2Ewgdrzw/s1600/a.png)
hasil penjumlahan deret tersebut:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEikfD1d8F2w4KlmAtONI-PXtYqROCTvwaH15E3mxzr9zI9ynIDTMacoQLwlizURE5heWdAljkTpy32M2Hpjd0vc4jVuJtHCtYAPw2fM9Mwrdfx3lRY0lSeBfwPU1850IikKozc08EuD_RU/s1600/a.png)
pada soal diketahui hasil penjumlahan ketiga suku tersebut 6, maka:
ylog 64 = 6
y^6=64
y = 2
sehingga nilai dari x + y = 3 + 2 = 5
jawaban: D
15. Himpunan penyelesaian pertidaksamaan
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_1lCJpSJ2GWdFvkvxiDugE9KffvQEPsRkXiN6hwXinzIeD5lVWtWyZBD3fBkoBDBsLE8cex7UAkQLq7y8zN_A8D-lD6jhmgi-ilLa80V7IQ_vvvCigxSYh9OHk-9nbmyAGid-o-xJnVE/s1600/a.png)
a. {x∣ 1< x < 3}
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgxHME7JY5d0byvjGMxZmtrvxeCN8F2cB1gyrWe-MZ2kO1xfnKFnkjMId-s84xswqzDubCdIyIFs6X-GjhyQSM69zMhJqZ7174KH1tm6gNq5hiF54sjoSXBXXmXdLdW7ZoTXv3AMFDXSL4/s1600/a.png)
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMiYqZuLQxN0deRC5KJXKCMtXKeCtBlWdhhXtmB1D15ge4MlL9btYtAe6b7sljuyMdl_L6_wwDvR5_9PkIwwhpfxD2w4IUz5myJb-ExlBeX0OmSBfp4tWlCPZrmTrhSaMbv0lrcJb4CLk/s1600/a.png)
(p – 3) (p – 1) < 0
p = 3 atau p = 1
untuk p = 3, maka:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWqzlP7t-ivcqHLeBvCraVzsl8sZ1wCuE3LkJxInIhL7Au1C-K9rYk__2t840RrsOtQ0boCYA3t2qpQGVy_UyufcuTNXPxdQhhk7OpO_gqo4cpoJ7VKH7-L6UnSWwBjy1To8ejUrLx1yI/s1600/a.png)
untuk p = 1, maka:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhiemfMF1CHQi2fR53knt1e7IK9tPdDi1oQ0Ztq8KwbxdgANOCW8qxL7UJNW9UlEzYmhNd3i1Fxw49kS-ZCnSdzd7Qjvz4YNA1i8uLXud5R2RZIXb5yYQCgOpdXziXiwPdYb6dFGTMv048/s1600/a.png)
daerah hasilnya:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjD8o1X9lBGZTUF9-3lCb_KwjVL0Fl_Cf52X3AebS0-XH7XVE0IZVSUWJYKQ_ERG5bikxm_ZLDc99qjFALPbN3Tqnlb536SFZqZjLOXC1TvXFmUO_g4PFyLSbkGqyeGsSFY191jV0jftfM/s320/a.png)
HP = { x < 0 atau x < 2 log √3 }
Jawaban: C
16. Nilai maksimum fungsi :
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgFbIFcwkwjrHYKq8Gk5K06BgOZFBTJcbYmxnubg721mYBONGF5Uc64C5-8lpGiyHu6jdSy9q92CNPvSXLntLxRG8QMl3WRbwS5x16ceB1oNz0L9B-HzU6SLwMWUcKuBdS521sgUg_SDaQ/s1600/a.png)
a. 4
b. 8
c. 12
d. 15
e. 16
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgFbIFcwkwjrHYKq8Gk5K06BgOZFBTJcbYmxnubg721mYBONGF5Uc64C5-8lpGiyHu6jdSy9q92CNPvSXLntLxRG8QMl3WRbwS5x16ceB1oNz0L9B-HzU6SLwMWUcKuBdS521sgUg_SDaQ/s1600/a.png)
f(x) akan mencapai nilai maksimum apabila
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXyzE1HaosvSJryx3GNOekGhno3WsaUwsv-R-RVQf5jsWsbGmqPOolDM7BeyR78gtjvemEgSF4Ra93NrKpOgzNEiXsxeG7hxESQLwqXehJlcbtHUHDJJJm6bsFuILZUBzOtORrLnWOd7o/s1600/a.png)
x = -b/2a = - 2/(2.-1) = 1
jadi, f(x) akan maksimum ketika x = 1, sehingga:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMf6dieXy9nNXvzjvFrvzIz4K1HYzqTpV_cmhNZ-YnI5Ta3xiIOJAPz4OGyqdijvcAuMRswmLcmG-_9kIxCqwj3TLviiq7MPiBK-q3_UcS5Csx0ZoANqG_o4ywPVI6xTvHt1ew8epwdug/s1600/a.png)
Jawaban: A
17. Diketahui
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEggQwBr3TNPPACq_D9Hn7SCcyZzlwcyIpHSdRBPY4rozRS2P6RRuGEi442jLUMns6Hl1ezLIyPlp170L4vqvtzbhyphenhyphen22fqNhyphenhyphennduMpubMruFq1lmBbRWj6Ha713Nm0izh-13tVGPGUVyvYg/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgFRT0wo1qJhmXGxbz6I1jySs2sqY_JLUkxPeYt3WLku-HGyFktiCzMNTAwrMeM0BHB967dc5mU9pxcYlP_-FbsbWWj8YxM0sSmNnsiCHYVfNJAz_YoB0ULMvx2m-yFX3we9seZJ_AMEyI/s1600/a.png)
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhz439Dgyws_6A0G84nuAMGUryoFuYxaFALCcdVVBI3-GgqWqGc9oYF5ugcxtpjtVdPP9GT_lce6S2VWx1QuwfQy2duz21p_Ec1QtZlnaqYVJiohqTuuR_QcuFtknpUxm3p7lKv7WKowZI/s1600/a.png)
Misalkan,
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEga0HsXdIAlggL5CgNibE5GSIPM_JaT6lcvUUig0hN2bqJ7sxFEeNftmhtlpYVIhrqg47wtNGXXHSQFnVx-KfTskuHupgTSPPRfqnrbJaC95pMndKPhoHn1LozA8Qd7Ul9ZvcJhW6CYvDk/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjB8tYJpNoW2o4z_DJ1s3Ia9_eDf6KaO1m26dH3gtvF8DANZwE7ITTMCCT4BPcYSCCTNN5uKe-kEY5Nrl-XzjiGYFHHGjtUt7bP1m1UslzIhZqN3m8-4uYtosiMaPkyNEo3aT9Tz7SVvOU/s1600/a.png)
(2p + 1) (p – 1) = 0
p = -1/2 dan p = 1
untuk p = -1/2, maka:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEga0HsXdIAlggL5CgNibE5GSIPM_JaT6lcvUUig0hN2bqJ7sxFEeNftmhtlpYVIhrqg47wtNGXXHSQFnVx-KfTskuHupgTSPPRfqnrbJaC95pMndKPhoHn1LozA8Qd7Ul9ZvcJhW6CYvDk/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGhDsVlHBmJ6d-WHb6tw4olm0seFVAfs_SqhtpcXsxE3mwTOX_wBI5IXuUGDW9cBivTkgyEb3i11SSPpYjXUlhcjP4SDz2Ef72kOHmjdZXW9OXTnbf6r5OELq-aFMirsz6OichDu5ePXg/s1600/a.png)
x = 1/2
untuk p = 1, maka:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEga0HsXdIAlggL5CgNibE5GSIPM_JaT6lcvUUig0hN2bqJ7sxFEeNftmhtlpYVIhrqg47wtNGXXHSQFnVx-KfTskuHupgTSPPRfqnrbJaC95pMndKPhoHn1LozA8Qd7Ul9ZvcJhW6CYvDk/s1600/a.png)
x = 4
jadi, x1 + x2 = ½ + 4 = 4 1/2
jawaban: B
18. Nilai x yang memenuhi
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVJoq-rAqZV9GI1l4fnqnTwCumIg611KfUeoVzL44ihc5KyBNJwxQ6dbq6DhXxQpS4eTQrk_2wD2j9xJeNvXWoZ9VLjYL4O9IkdicUpx_Ew-YXMiMfPKt5ro02Qs3b9ZyJ2bwV4J_RMPM/s1600/a.png)
a. 16 atau 4
b. 16 atau ¼
c. 8 atau 2
d. 8 atau ½
e. 8 atau 4
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVJoq-rAqZV9GI1l4fnqnTwCumIg611KfUeoVzL44ihc5KyBNJwxQ6dbq6DhXxQpS4eTQrk_2wD2j9xJeNvXWoZ9VLjYL4O9IkdicUpx_Ew-YXMiMfPKt5ro02Qs3b9ZyJ2bwV4J_RMPM/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEga8fcGc1sPyPfy6f72y296BBwBCOr06US8jObnv7p2PwvTVqZO2I-bBoq5v7LfKd-S0WHkYlHMo1zETkz1CU32gaCXPOD2nJOj0c4Q7Ofn9vBRzR9fUfXvyCS-Vjk6F_uePoIJw_WafWU/s1600/a.png)
(2p – 3) (2p + 1) = 0
p = 3/2 atau p = - ½
untuk p = -1/2, maka:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEga0HsXdIAlggL5CgNibE5GSIPM_JaT6lcvUUig0hN2bqJ7sxFEeNftmhtlpYVIhrqg47wtNGXXHSQFnVx-KfTskuHupgTSPPRfqnrbJaC95pMndKPhoHn1LozA8Qd7Ul9ZvcJhW6CYvDk/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGhDsVlHBmJ6d-WHb6tw4olm0seFVAfs_SqhtpcXsxE3mwTOX_wBI5IXuUGDW9cBivTkgyEb3i11SSPpYjXUlhcjP4SDz2Ef72kOHmjdZXW9OXTnbf6r5OELq-aFMirsz6OichDu5ePXg/s1600/a.png)
x = 1/2
untuk p = 3/2, maka:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEga0HsXdIAlggL5CgNibE5GSIPM_JaT6lcvUUig0hN2bqJ7sxFEeNftmhtlpYVIhrqg47wtNGXXHSQFnVx-KfTskuHupgTSPPRfqnrbJaC95pMndKPhoHn1LozA8Qd7Ul9ZvcJhW6CYvDk/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEiiG76s-m2HToAPkGu4Wz3TFJSc-kL_aeqL6qR1aOCTjbBDGhZoxHelPvzlX93zXKWbNvqOsCK8zs3VEJ0a2t-6sUuZiQZ6rbH5oepGNiX08Ku7Ni9SEja12J07jOVyT2yxzj8Ukxjm0/s1600/a.png)
x = 8
jadi, nilai x yang memenuhi adalah ½ dan 8
jawaban: D
19. Penyelesaian persamaan
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhim7weeyCJmNpFP_-9aVM9_6M7GSTmk2zSvmwHFqCeQMU_BE9chM6DouvmQT4cToKLwiuFJ5JrLvk0HLvl20eeKB1k5g5W1mbBIfX4nVezixPvRk3nAmx0mk_LhHrMMPKASGzu_O8lPm8/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEikn4fghXMEydzMtUw9p2_tQmxe5yIxTmaxjRjFeHzU5lYVyl31yLTMDq6bBblvOG07f5u_8WpxUl5p00Nbi_NDnROGz-dg_rOIHB8InZSOItgYdnZq7I8vRL9y_Xmgpv1KbOnYnnFFyL0/s1600/a.png)
a. 1
b. 2
c. 3
d. 4
e. 5
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxXmRlvHvuvd6jqOJD4RvSVMAd1rNLxnm26tteVZ18bL8USogeRQkMRbF_5ra44sqOnPd3CwMI29RxsWvre1-1Z0_hrJQ8xHTBWA2Jn1V1hZM_uyjiLUUPFDbmdfvUJVhM9bMMXsx9BL4/s1600/a.png)
(x – 6) (x – 2) = 0
x = 6 dan x = 2
sehingga nilai dari
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHXPFkMhmW3_RsoHiG7eX4ftLIO06azT50ENIXxq1wIG7PYb7d5IDZ8roJbxOidWJFIs18HR1wzDnLmrVdcVimHE7qqrz1JSg635WrWnNqkzAPZ1SD7cusIzDNuvkinRobv0agjP0758g/s1600/a.png)
jawaban: B
20. Semua nilai-nilai x yang memenuhi:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEioptk3-BsEQwxyT80Z3aQgxT9w6NGz3S_KIfl9xj_K6VudBM0JsTIVbHHPuqTkLykak5E71q-9rcKxZBVpzHj9gE99wiWGs3s5459cDzrmS2de8r0LGUUCOFsM6PBxDs-CjCWxY57WFjU/s1600/a.png)
a. -2 < x < 3
b. x < -2 atau x > 3
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEik1xP510MhfN2UsaODU3mrNwPs26nshMn2Hb1LmZCUeunvkH_NJqIMqpbusA12u1aOnNahQlM84uGeb-KYEg-Mjic7_asTEfdm6JD9aXf8GQzUwf9A-PikILUOChhPzdqs8XNxlojinFQ/s1600/a.png)
e. Semua bilangan real
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHNO-0o0tSyoQpSbBKPSEe0zn8QEi572EK-LH32dqj5uYE9UfkRto6rNdsSA5pA3EbTxJO1ZZEh9sE_WhmxgnUPspGi9FwbMgAyblDsEYUx_RWRqexEesGzwDPBTPuwLPfCvjzCfHnL-U/s1600/a.png)
(-x – 2) (x – 3) = 0
x = -2 atau x = 3
kita subtitusikan x = -2 dan 3 pada persamaan
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbbb_2RaNlFK-x2xMuAhM0cA7m4I9NmslwDfPziGVEunfu8h_8F_ThFSGWOqdLYW6KUTBsA0nQcP6cvpK0SaG1tatMRK2numpwzFhxwjXqnzcOYy3rddIzgZgJH29ngxIm7EOTF1xHYY0/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhWpS1QRIhShkcxGFibppVKRHc_kkg_oYRlVr-QFq2aCPwbQ99QSiiMs1-H6V5GZvtqMOfXgJTrvkGU-XxLnL_JJOkLU2ed1YX1kmCKV5vltQ_ibRjKL8Ry5rAL9H2wuUKy0uQE2PJHLI4/s1600/a.png)
HP = { -2 < x < 3}
Jawaban: A
21. Jika x1 dan x2 adalah akar-akar persamaan
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjo9DqcSqwq2I13z2zXWLewvgSMksNAGsOLNoQkuwYXTAh3kdZHvTZ6q8CMbiWK8w_s4vNrlfdt5WsISmU02veHgsGk-n8iwrqR3Bx-b-bThWrTYWb7fAMa9cVB6QNyGUAx7gayA480tnI/s320/a.png)
a. 49
b. 29
c. 20
d. 19
e. 9
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJlYEdqRuXZJT4dqP-oFmPO-P5LXlSzVqOKn2uLQTLLyGujISxX8iymcYDfLlrw4ML5grbGXxFDXMBtyrv36yM7xzl3lR4RousGUcZ9xWA91n7IaLsKS5IF35y79W7f4tTQ9-IUChkZaE/s1600/a.png)
(x + 5) (x + 2) = 0
x = -5 atau x = -2
maka hasil dari, (x1 + x2)2 – 4x1.x2 adalah:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhTLg9e5ZmX09TJWwFz2pZGBdz1WOLHSNdShY9RYbObJD4EWq25_ChaS56pe6ut5Ly9RaqpTdbAXr5JWzo_CzPdv-wcj5LygpZzqxkr-Xdn9GPaK28H5lEUL1DwCWoSnQ96CZfRGBW7zz4/s1600/a.png)
Jawaban: E
22. Jika
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyon1wKDyGwW_V_tXe5aHST_Prg7xrAkkDT5tsOAkt5cAShnevGylBEVPYV7dO1SSSzKwaVOb1dtjjyEApaio0WubXxeNCMZEgBVQS_fOebulcMSFa6aWzbh1V6BdzRMO5IC2Ve4exFfk/s1600/a.png)
a. 3
b. 2
c. 1
d. -1
e. -3
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQABDZlNKv1jjVlQ4nMAXkTWffDezxLeL2tnskGshrlP2iDb_c0LOdSGTxC6an84SNpX-VuTfgLm0A0c6z3raLqOAyKdjSxNNZy3iQqDTbcrR4LYPyyf53YNag0ocWbCzMRVN35NNOslg/s1600/a.png)
Jawaban: D
23. Himpunan penyelesaian dari:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbxmtdKwYM4ymCzweyjaVxdTt77Apu9jWktaF4QNKtWJsYMg-y_Yz6Jo-oqBnjzgAvV9vgVWgJtCtYUEPf2jUQmdtFena0TPulj8t_gk_W9OmNNnIAM-V2VBwC70-cuHhFcNmb5VH_5v4/s1600/a.png)
a. {x ∣ x < ½ atau x > 8}
b. {x ∣ x > ½ atau x < 8}
c. {x ∣ 0 < x < ½ atau x > 8}
d. {x ∣ x < 8}
e. {x ∣ x > ½ }
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbxmtdKwYM4ymCzweyjaVxdTt77Apu9jWktaF4QNKtWJsYMg-y_Yz6Jo-oqBnjzgAvV9vgVWgJtCtYUEPf2jUQmdtFena0TPulj8t_gk_W9OmNNnIAM-V2VBwC70-cuHhFcNmb5VH_5v4/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjn7DvXgY-H2b1ZkoEnMkKAxGgOgz4JaKoha2e4X5oMniIVfL6yibh7C4tADGw187VM08Q_OR0DOgZFPXjfv4kTpDcoyKToQoJwMpSIUpS7sFIwie3eCINnTHbF-5Fa9dL2mEKPu2jTHMc/s1600/a.png)
(2p + 1) (2p – 3) > 0
p < - ½ atau p > 3/2
untuk p < - ½ maka 4 log x < - ½ = x < ½
untuk p > 3/2 maka 4 log x > 3/2 = x > 8
karena syarat logaritma x > 0, maka:
HP = { 0 < x < ½ atau x > 8}
Jawaban: C
24. Jika
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjvmsDyOD630b1VPWVKZJlUMZn0EWPMHVm9_ib26ebdxkvU4eOhWRXyhI6U-s83iD5QWdCs4n_6yrJSpvp_7grNN4Q1MGeyMDPkM8gSQnKoD7hFsK_IboQVgSbE0Qxacr1cPSN0sBdEeX4/s1600/a.png)
a. ∛2
b. ∛4
c. ∛5
d. ∛6
e. ∛7
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhWbncHlDtG7YjgSmq0ZhMMvTjFjx79VRtXZZXnGPCDn3-iRzSCVdYjvZ-mjLfstjxd1jWpdH1kQsJR3N9TgPp8vHRLnhhDDCWii1g52AJGGHLcQJVy278TbuBTnSETAgBGD14xl6cvltM/s1600/a.png)
a = ∛6
Jawaban: D
25. Jika log x + log 2x + log 4x + log 8x + ... + log 1024x = 22, maka x = ...
a. 5,5
b. 3,125
c. 2,75
d. 1,375
e. 0,625
Pembahasan:
log x + log 2x + log 4x + log 8x + ... + log 1024x = 22
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXYW9fIBoARQafcBc3Ha_zR5MjzO1gPtjbJr8rFc8ED2bt1Z_h2puPD3rtdoOthid-qNDUuzUTqBp-1aomYBa14Z9ww-YDWKscbpAxZXaBlChbXAyTFXksgGvDwl8RemuAxzwmAlZScoo/s1600/a.png)
Jawaban: B
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