Answer
$t = -2$
Work Step by Step
$(\frac{1}{5})^{t} = 25$
$5^{-t} = 5^{2}$
$-t = 2$
$t = -2$
Check:
$= (\frac{1}{5})^{-2}$
$= 5^{2}$
$= 25$
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: 28
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