Answer
$x=ln\frac{1}{\sqrt (e-1)}$
Work Step by Step
Given: $e-e^{-2x}=1$
$e-1=e^{-2x}$
$(-2x)lne=ln(e-1)$
This implies
$x=ln\frac{1}{\sqrt (e-1)}$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 6 - Inverse Functions - 6.3* The Natural Exponential Function - 6.3* Exercises - Page 452: 9
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
