LATIHAN SOAL
Soal 01
\(^a \log \dfrac 1b \:.\: ^b \log \dfrac 1c \:.\: ^c \log \dfrac 1a = \dotso\)
(A) \(-1\)
(B) \(1\)
(C) \(abc\)
(D) \(a + b + c\)
(E) \(\dfrac {1}{abc}\)
Soal 02
\(\dfrac {\log x\sqrt{x} + \log \sqrt{y} + \log xy^2}{\log x + \log y} = \dotso\)
(A) \(0,5\)
(B) \(1\)
(C) \(1,5\)
(D) \(2\)
(E) \(2,5\)
Soal 03
\(\dfrac {1}{^{\sqrt{a}} \log abc} + \dfrac {1}{^{\sqrt{b}} \log abc} + \dfrac {1}{^{\sqrt{c}} \log abc} = \dotso\)
(A) \(0,5\)
(B) \(1\)
(C) \(1,5\)
(D) \(2\)
(E) \(2,5\)
Soal 04
Jika \(\log \left(\dfrac {a^2}{b^2} \right) = 4\), maka \(\log \sqrt {\dfrac {b}{a}} = \dotso \)
(A) −2
(B) −1
(C) 0
(D) 1
(E) 2
Soal 05
Jika \(a = 0,111...\) maka \(^a \log 729 = \dotso\)
(A) −3
(B) −3
(C) 0
(D) 1
(E) 3
Soal 06
\(3 \:.\: ^{0,125} \log 0,25 + \: ^{0,2} \log 0,008 = \dotso\)
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Soal 07
\(^3 \log 24 - \: ^3 \log 2\sqrt{3} + 2 \:.\: ^3 \log \left(\dfrac 32 \right) - \: ^7 \log 1 = \dotso\)
(A) \(-1 \frac 12\)
(B) \(-1\)
(C) \(\frac 12\)
(D) \(1 \frac 12\)
(E) \(2 \frac 12\)
Soal 08
\(^{\sqrt{2}} \log \: ^{\sqrt{2}} \log \: ^{\sqrt{2}} \log 256 = \dotso\)
(A) \(-1 \frac 12\)
(B) \(-1\)
(C) \(\frac 12\)
(D) \(1 \frac 12\)
(E) \(2 \frac 12\)
Soal 09
\(\dfrac {(^4 \log 81)^2 - (^4 \log 27)^2}{(^4 \log \sqrt{3})^2} = \dotso\)
(A) 20
(B) 24
(C) 28
(D) 32
(E) 36
Soal 10
Jika \(\large {8^{^2 \log 5} \times 4^{\frac {1}{^5 \log 2}} = m^5 }\), nilai \(m = \dotso\)
(A) −2
(B) −1
(C) 0
(D) 1
(E) 2
Soal 11
Jika \(^9 \log 8 = 3m\) dan \(^{16} \log 27 = \dotso\)
(A) \(\dfrac {1}{2m}\)
(B) \(\dfrac {2}{3m}\)
(C) \(\dfrac {3}{8m}\)
(D) \(\dfrac {5}{7m}\)
(E) \(\dfrac {6}{17m}\)
Soal 12
Jika \(^2 \log 3 = p\) dan \(^3 \log 5 = q\), maka \(^9 \log 20 = \dotso\)
(A) \(\dfrac {2 + q}{2p - 1}\)
(B) \(\dfrac {2 - q}{2p + 1}\)
(C) \(\dfrac {2 + pq}{2p}\)
(D) \(\dfrac {1 + q}{2p}\)
(E) \(\dfrac {2 + q}{p + 1}\)
Soal 13
Soal 14
Soal 15