Answer
$x=-1$
Work Step by Step
$5^{x-2}=\frac{1}{125}$
$5^{x-2}=\frac{1}{5^3}$
$5^{x-2}=5^{-3}$
$x-2=-3$ (One-to-One Property)
$x=-3+2$
$x=-1$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 5 - 5.1 - Exponential Functions and Their Graphs - 5.1 Exercises - Page 368: 28
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