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Question

Question: If \(\cosh^{- 1}x = \log(2 + \sqrt{3}),\) then \(x =\)...

If cosh1x=log(2+3),\cosh^{- 1}x = \log(2 + \sqrt{3}), then x=x =

A

2

B

1

C

3

D

5

Answer

2

Explanation

Solution

cosh1x=log(x+x21)\cosh^{- 1}x = \log(x + \sqrt{x^{2} - 1}) = log(2+3)\log(2 + \sqrt{3})

\therefore x=2x = 2