Question

The solution of ${\log }_{99}\{{\log }_2({\log }_{3}x)\}=0$ is:

• A. 4
• B. 9
• C. 44
• D. 99

Answer 1

Answer: (B)

Given that,
${\log }_{99}\left\{{\log }_2\left({\log }_{3}x\right)\right\}=0$
$\Rightarrow {\log }_2\left({\log }_{3}x\right)=(99{)}^0$
$\Rightarrow {\log }_2\left({\log }_{3}x\right)=1$
$\Rightarrow {\log }_{3}x=2$
$\Rightarrow x=3^2=9$