Answer
$x=0.059$
Work Step by Step
$8(10)^{3x}=12$
$10^{3x}=\frac{12}{8}=1.5$
$\log10^{3x}=\log1.5~~$ (Using the Inverse Property: $\log10^x=x$):
$3x=\log1.5$
$x=\frac{\log1.5}{3}=0.059$
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: 29
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