Answer
-2
Work Step by Step
Using the rules of exponents, we find:
$$ 3\cdot \:9^{-x}=243 \\ 9^{-x}=81 \\ -x=2 \\ x=-2$$
Note, this can be solved since we know that:
$$ 9 ^ 2 = 81$$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 6 Rational Exponents and Radical Functions - 6.2 Apply Properties of Rational Exponents - 6.2 Exercises - Skill Practice - Page 425: 82a
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