Answer
$x = -4$
Work Step by Step
$3^{x} = \frac{1}{81}$
$3^{x} = 81^{-1}$
$3^{x} = 3^{-4}$
$x = -4$
Check:
$=3^{-4}$
$= \frac{1}{3^{4}}$
$= \frac{1}{3^{4}}$
$= \frac{1}{81}$
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: 17
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