Answer
x=-5
Work Step by Step
In the exponential functions a given value of x leads to exactly one value of $a^x$, thus we can rewrite the equation:
$e^x=\frac{1}{e^5}$
$e^{x}=\frac{1}{e^{-x}}$
So, $x=-5$
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter 2 - Nonlinear Functions - 2.4 Exponential Functions - 2.4 Exercises - Page 86: 16
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