Answer
$x=4$
Work Step by Step
Isolate the exponential term on one side. Then make the base of the right side equal to the base of the left side. Then set the exponents equal to each other.
$(-3)^x=\frac{1}{81}$
$(-3)^x=(-3)^4$
$x=4$
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 - Chapter Review Exercises - Page 476: 16
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