Answer
$x=1.994$
Work Step by Step
$3^{2x}=80$
$\log_33^{2x}=\log_380~~$ (Using the Inverse Property: $\log_aa^x=x$):
$2x=\log_380$
$x=\frac{1}{2}\log_380=\frac{1}{2}\frac{\ln80}{\ln3}\approx1.994$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 5 - 5.4 - Exponential and Logarithmic Equations - 5.4 Exercises - Page 395: 25
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