Intermediate Algebra: Connecting Concepts through Application

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: 1

Answer

$w\approx4.395$

Work Step by Step

Take the log of both sides, and then use the power property. $3^w=125$ $\log3^w=\log(125)$ $w\log3=\log125$ $w=\frac{\log125}{\log3}$ $w\approx4.395$
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