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: 25

Answer

$x = -4$

Work Step by Step

$(\frac{1}{2})^{x} = 16$ $2^{-x} = 16$ $2^{-x} = 2^{4}$ $-x = 4$ $x = -4$ Check: $= (\frac{1}{2})^{-4}$ $= 2^{4}$ $= 16$
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