Answer
$x=1.796$
Work Step by Step
$5^x+8=26$
$5^x=18$
$\log_55^x=\log_518~~$ (Using the Inverse Property: $\log_aa^x=x$):
$x=\log_518=\frac{\ln18}{\ln5}\approx1.796$
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: 24
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