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: 8

Answer

$x\approx4.071$

Work Step by Step

Take the log of both sides, and then use the power property. $0.75^x=0.31$ $x\log0.75=\log0.31$ $x=\frac{\log0.31}{\log0.75}$ $x\approx4.071$
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