Answer
$x=-5$
Work Step by Step
$\frac{1}{2}=2^{-1}$
$(\frac{1}{2})^x=32$
$(2^{-1})^x=2^5$
$2^{-x}=2^5$
Using One-to-One Property:
$-x=5$
$x=-5$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 5 - 5.4 - Exponential and Logarithmic Equations - 5.4 Exercises - Page 395: 8
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