Answer
$x=-5$
Work Step by Step
Make both sides have a base of 2 by writing $32$ as $2^5$, then use the rule $\dfrac{1}{a^m} = a^{-m}$ to obtain:
$2^x=\dfrac{1}{2^5} \\2^x=2^{-5}$
Use the rule "If $a^x=a^y$, then $x=y$" to obtain:
$x=-5$
Algebra 1
by Hall, Prentice
Published by
Prentice Hall
ISBN 10:
0133500403
ISBN 13:
978-0-13350-040-0
Chapter 7 - Exponents and Exponential Functions - 7-4 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 438: 76
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