Algebra 1

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: 76

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: $x=-5$
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