Discussion Forum



1)

if $log_{8}x$ $=\frac{2}{3}$, then the value of $x$ is :


A) $\frac{3}{2}$

B) $\frac{2}{3}$

C) 2

D) 4

Answer:

Option D

Explanation:

$log_{8}x$ $=\frac{2}{3}$

$\Leftrightarrow x$ $=8^{2/3}$

$=(2^{3})^{2/3}$ $=2^{\left(3\times\frac{2}{3}\right)}$

$=2^{2}$ = 4.