Answer
$x=-3.454$
Work Step by Step
$3^{2-x}=400$
$\log_33^{2-x}=\log_3400~~$ (Using the Inverse Property: $\log_aa^x=x$):
$2-x=\log_3400$
$2-\log_3400=x$
$2-\frac{\ln400}{\ln3}=x$
$x=-3.454$
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: 27
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