Answer
$x=4.535$
Work Step by Step
$8(3^{6-x})=40$
$3^{6-x}=5$
$\log_33^{6-x}=\log_35~~$ (Using the Inverse Property $\log_aa^x=x$):
$6-x=\log_35=\frac{\ln5}{\ln3}$
$6-\frac{\ln5}{\ln3}=x$
$x=4.535$
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: 30
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