Q. If $\log_{27}{(\log_{2}x) = \frac{1}{3}}$, then the value of $x$ is
A) 3
B) 6
C) 9
D) 27
Explanation
(d)
Given, $\log_{27}{\log_{3}{x = \frac{1}{3}}}$
$\Rightarrow \left( \log_{3}x \right) = (27)^{1/3} = 3$
$\Rightarrow x = (3)^{3}$
$\Rightarrow x = 27$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.