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 - Chapter Review Exercises: 38

Answer

$x\approx-0.021$

Work Step by Step

Take the log of both sides, and then use the power property. $7^{x+2}=47$ $(x+2)\log7=\log47$ $x+2=\frac{\log47}{\log7}$ $x=-2+\frac{\log47}{\log7}$ $x\approx-0.021$
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