Find x in the following when: _8 x=2 3 - Vidyadip

Question

Find $x$ in the following when$: \log _8 x=\frac{2}{3}$

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Answer

$\log _8 x=\frac{2}{3}$
$\Rightarrow x=8^{\frac{2}{3}}$
$ \Rightarrow x^3=8^2$
$=64$
$=4^3 $
$ \therefore x=4 .$

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