Answer
$x=1$
Work Step by Step
$\frac{1}{3}=3^{-1}$
$(\frac{1}{3})^{x-3}=9$
$(3^{-1})^{x-3}=3^2$
$3^{-x+3}=3^2$
Using the One-to-One Property:
$-x+3=2$
$-x=2-3=-1$
$x=1$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 5 - Review Exercises - Page 412: 13
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