Q. $e^{\log{\ (\cosh^{- 1}2)}}$ is equal to
A) $\log{(2 - \sqrt{3})}$
B) $\log{(\sqrt{3} - 2)}$
C) $\log{(2 + \sqrt{3})}$
D) $\log{(2 + \sqrt{5})}$
Explanation
(c)
$e^{\log{\ (\cosh^{- 1}2)}} = \cosh^{- 1}{(2) = \log{(2 + \sqrt{2^{2}} - 1)}}$
$= \log{(2 + \sqrt{3})}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.