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: 17

Answer

$x = -4$

Work Step by Step

$3^{x} = \frac{1}{81}$ $3^{x} = 81^{-1}$ $3^{x} = 3^{-4}$ $x = -4$ Check: $=3^{-4}$ $= \frac{1}{3^{4}}$ $= \frac{1}{3^{4}}$ $= \frac{1}{81}$
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