Answer
$$x= \sqrt{e+1}$$
Work Step by Step
Given
$$\ln (x+1)+\ln (x-1)=1$$
Then
\begin{align*}
\ln (x+1)+\ln (x-1)&=1\\
\ln (x+1)(x-1)&=1\\
\ln (x^2-1)&=\ln e\\
x^2-1&=e
\end{align*}
Hence $$x= \sqrt{e+1}$$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 6 - Inverse Functions - Review - Exercises - Page 505: 17
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