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