Answer
$0$
Work Step by Step
Step 1. Let $u=e^{x}$ and rearrange to get $u^2+1=2u \longrightarrow (u-1)^2=0 \longrightarrow u=1 \longrightarrow e^x=1 \longrightarrow x=0$
Step 2. Check, $x=0$ fits the original equation.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 5 - Exponential and Logarithmic Functions - 5.6 Logarithmic and Exponential Equations - 5.6 Assess Your Understanding - Page 312: 89
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