Answer
$w\approx4.395$
Work Step by Step
Take the log of both sides, and then use the power property.
$3^w=125$
$\log3^w=\log(125)$
$w\log3=\log125$
$w=\frac{\log125}{\log3}$
$w\approx4.395$
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 - 6.5 Solving Exponential Equations - 6.5 Exercises - Page 526: 1
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