If log x(0.1)=-1/3, then the value of x is · ABC26GN2029
Subject: General Aptitude · Chapter: Logarithms
If $\log _{x}(0.1)=-\frac{1}{3}$, then the value of $x$ is
(a)10
(b)100
(c)1000
(d)$\frac{1}{1000}$
Answer
Explanation
$\log _{x}(0.1)=-\frac{1}{3} \Leftrightarrow x^{-1 / 3}=0.1 \Leftrightarrow \frac{1}{x^{1 / 3}}=0.1$ $\Leftrightarrow x^{1 / 3}=\frac{1}{0.1}=10 \Leftrightarrow x=(10)^{3}=1000$.
Explanation as extracted from the printed page; notation may be imperfect.
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