Q. If $\log_{5}{\log_{5}{\log_{2}{x = 0},\ }}$ then the value of $x$ is

A) 32
B) 125
C) 625
D) 25
Explanation

(a)
Given, $\log_{5}{\log_{5}{\log_{2}{x = 0}}}$
$\Rightarrow \log_{5}{\log_{2}{x = 5^{0} = 1}}$
$\Rightarrow \log_{2}{x = 5 \Rightarrow x = 2^{5} \Rightarrow x = 32}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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