Question

The value of ${\log }_{4}8$ is $\frac{3}{2}$. If true then enter $1$ and if false then enter $0$

Answer 1

Let $x={\log }_{4}8$
$\Rightarrow 4^x=8$
$\Rightarrow 2^{2x}=2^3$

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

Thus the statement which states that the value of ${\log }_{4}8$ is $\frac{3}{2}$ is true.