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: 7

Answer

$x\approx2.227$

Work Step by Step

Take the log of both sides, and then use the power property. $0.4^x=0.13$ $x\log0.4=\log0.13$ $x=\frac{\log0.13}{\log0.4}$ $x\approx2.227$
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