Answer
$x = -4$
Work Step by Step
$(\frac{1}{2})^{x} = 16$
$2^{-x} = 16$
$2^{-x} = 2^{4}$
$-x = 4$
$x = -4$
Check:
$= (\frac{1}{2})^{-4}$
$= 2^{4}$
$= 16$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
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: 25
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