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. $32$
• D. $2$

Answer 1

The correct option is A

$16$

Explanation for the correct option:

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

$$\begin{gathered} \Rightarrow {\log }_4\left({\log }_{2}x\right)=3^0=1\left[\because {\log }_a\left(b\right)=c\Rightarrow b=a^c\right] \\ \Rightarrow {\log }_{2}x=4^1 \\ \Rightarrow x=2^4 \\ \Rightarrow x=16 \end{gathered}$$

Hence option(A) i.e.$16$ is correct.