Question

The value of ${\log }_{4}8=\frac{3}{m}$. The value of $m$ is:

Answer 1

Let $x={\log }_{4}8$

$\Rightarrow 4^x=8$

$\Rightarrow 2^{2x}=2^3$

$\Rightarrow 2x=3$

$\Rightarrow x=\frac{3}{2}$

Hence, $m=2$