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Logarithms — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSLogarithms3 Marks
Question
Find the value of: $\log _8 2$
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Answer

$\log _8 2$
Let ${\log _8 2=x}$
$\Rightarrow 2=8^x$
$\Rightarrow\left(2^3\right)^x=2$
$\Rightarrow 2^{3 x}=2^1$
$\Rightarrow x=\frac{1}{3}$
$\therefore 3 x=1 .$

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