Q. The solution of $\log_{99}{\left\{ \log_{2}\left( \log_{3}x \right) \right\} = 0}$ is

A) 4
B) 9
C) 44
D) 99
Explanation

(b)
Given, $\log_{99}{\left( \log_{2}\left( \log_{3}x \right) \right) = 0}$
$\Rightarrow \log_{2}{\left( \log_{3}x \right) = (99)^{0} = 1}$
$\Rightarrow \log_{3}{x = 2}$
$\Rightarrow \ \ x = 3^{2} = 9$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.