Answer
$x\approx-0.021$
Work Step by Step
Take the log of both sides, and then use the power property.
$7^{x+2}=47$
$(x+2)\log7=\log47$
$x+2=\frac{\log47}{\log7}$
$x=-2+\frac{\log47}{\log7}$
$x\approx-0.021$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 6 - Logarithmic Functions - Chapter Review Exercises - Page 542: 38
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