Answer
$x = -2$
Work Step by Step
$5^{x} = \frac{1}{25}$
$5^{x} = 25^{-1}$
$5^{x} = 5^{-2}$
$x = -2$
Check:
$= 5^{-2}$
$= \frac{1}{5^{2}}$
$= \frac{1}{25}$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 5 - Exponential Functions - 5.2 Solving Equations Using Exponent Rules - 5.2 Exercises - Page 437: 16
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