Intermediate Algebra: Connecting Concepts through Application

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: 27

Answer

$x = -5$

Work Step by Step

$(\frac{1}{2})^{x} = 32$ $2^{-x} = 2^{5}$ $-x = 5$ $x = -5$ Check: $=( \frac{1}{2})^{-5}$ $= 2^{5}$ $= 32$
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