Question

If ${\log }_3\left[{\log }_4\right({\log }_{2}x\left)\right]=0$ then the value of $x$ is

• A. $16$
• B. $8$
• C. $64$
• D. $32$

Answer 1

The correct option is A $16$

${\log }_3\left[{\log }_4\right({\log }_{2}x\left)\right]=0$

$\Rightarrow {\log }_4\left({\log }_{2}x\right)=3^0=1$

$\Rightarrow {\log }_{2}x=4^1$

$\Rightarrow x=2^4$

$\Rightarrow x=16$