Answer
$x=-2$
Work Step by Step
Write $25$ as $5^2$ to obtain:
$5^{-x} = 5^2$
Use the rule $a^m=a^n\longrightarrow m=n$ to obtain:
$-x=2
\\-1(-x)=-1(2)
\\x=-2$
Thus, the solution is $x=-2$.
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 6 - Section 6.6 - Logarithmic and Exponential Equations - 6.6 Assess Your Understanding - Page 465: 42
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