Answer
$x=-5.821$
Work Step by Step
$7^{-3-x}=242$
$\log_77^{-3-x}=\log_7242~~$ (Using the Inverse Property: $\log_aa^x=x$):
$-3-x=\log_7242$
$-3-\log_7242=x$
$-3-\frac{\ln242}{\ln7}=x$
$x=-5.821$
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: 28
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