matematikasoal.wordpress.com hal 2

Soal Latihan Pangkat, Akar, dan Logaritma

01. 5a3 x 2a6 =

(A) 10a9(B) 10a18(C) 10a3(D) 5a9(E) 5a18

02. (x2y)3 : (x 1 y 3) =

(A) x6 y7(B) x7 y6(C) x 6 y7(D) x 7 y 7(E) x 6 y 7

03. Bentuk sederhana dari (-2x3 y z2)3 adalah

(A) -8x6 y3 z5(B) -8x9 y3 z5(C) -8x6 y3 z6(D) -8x9 y3 z6(E) 8y20 z8

04. Bentuk sederhana dari adalah

(A) 4x7 y 4(B) 4x7 y 2(C) 4x3 y 3(D) 4x 3 y 4(E) 4x3 y 4

05. Jika a 0, maka

(A) -22a

(B) -2a

(C) -2a2(D) 2a2(E) 22a

06. Bentuk dapat disederhanakan menjadi

(A)

(B)

(C)

(D)

(E)

07. Dalam pangkat positif

(A)

(B)

(C)

(D)

(E)

08. Bentuk dapat dituliskan tanpa eksponen negatif menjadi

(A)

(B)

(C)

(D)

(E)

09. Nilai

(A)

(B)

(C)

(D)

(E)

010.

(A) 0,25

(B) 0,50

(C) 0,75

(D) 1,00

(E) 1,25

011. Hasil dari

(A)

(B)

(C)

(D)

(E)

012.

(A) 1

(B)

(C)

(D) 2

(E)

013. Hasil kali (3 + 2) (3 2) =

(A) -7

(B) -5

(C) -3

(D) 1

(E) 3

014.

(A)

(B)

(C)

(D)

(E)

015. Nilai dari

(A)

(B)

(C)

(D)

(E)

016. Bentuk yang ekuivalen dari adalah

(A)

(B)

(C)

(D)

(E)

017.

(A)

(B)

(C)

(D)

(E)

018.

(A)

(B) (C) (D) (E)

019.

(A)

(B)

(C)

(D) 3

(E) 9

020. Dengan merasionalkan penyebut dari , bentuknya menjadi

(A)

(B)

(C)

(D)

(E)

021. Bentuk yang paling sederhana dari =

(A) 3

(B) 5

(C) 10

(D) 6

(E) 8

022.

(A)

(B)

(C)

(D)

(E)

023.

(A)

(B)

(C)

(D) 4

(E) -4

024. Bentuk rasional dari adalah

(A)

(B)

(C)

(D)

(E)

025.

(A)

(B)

(C) 1

(D) 3

(E) 9

026. Supaya 5log x = 0,5, maka x =

(A) -1

(B) 1

(C) 5

(D)

(E) -5

027. Nilai dari 2log 8 + 3log 27 + log 0,1 =

(A) 6

(B) 5

(C) 4

(D) 3

(E) 2

028. Nilai dari 25log 125 + 0,1log 100 + 2log 0,5 =

(A)

(B) 1

(C)

(D) 2

(E) -1

029. 3log 162 3log 2 + 3log 9 =

(A) 2

(B) 3

(C) 4

(D) 5

(E) 6

030. 3log 75 2 . 3log 5 + 3log =

(A) -4

(B) -2

(C) 0

(D) (E) 2

031.

(A) 36

(B) 45

(C) 62

(D) 79

(E) 80

032.

(A)

(B) 1

(C)

(D) 2

(E)

033. Jika 3log 2 = a, maka 8log 9 =

(A)

(B)

(C)

(D)

(E)

034. Jika log 2 = a, log 3 = b, dan log 5 = c, maka nilai log 150 =

(A) b a + 2c

(B) a + b + 2c

(C) a b + 2c

(D) a + b 2c

(E) a b 2c

035. Jika 5log 3 = a dan 3log 2 = b, maka 6log 75 =

(A)

(B)

(C)

(D)

(E)

036. Diketahui a = 6log 5 dan b = 5log 4, maka 4log 0,24 =

(A)

(D)

(B)

(E)

(C)

037. Jika a > 1, b > 1, dan c > 1, maka blog . clog b2 . alog=

(A)

(B)

(C) 1

(D) 2

(E) 3

038. 5log . 9log 125 + 16log 32 =

(A)

(B)

(C)

(D)

(E)

039.

(A) 1

(B) 2

(C) 3

(D) 4

(E) 5

040.

(A) 1

(B) 1,25

(C) 1,5

(D) 2,25

(E) 2,5

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