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: 16

Answer

$x = -2$

Work Step by Step

$5^{x} = \frac{1}{25}$ $5^{x} = 25^{-1}$ $5^{x} = 5^{-2}$ $x = -2$ Check: $= 5^{-2}$ $= \frac{1}{5^{2}}$ $= \frac{1}{25}$
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