Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 5 - Logarithmic Functions - Review Exercises and Problems for Chapter Five - Page 226: 14



Work Step by Step

Using the rules of logarithms, we find: $$\ln \left(4\cdot \:1.171^x\right)=\ln \left(7\cdot \:1.088^x\right) \\ \ln \left(4\right)+\ln \left(1.171^x\right)=\ln \left(7\right)+\ln \left(1.088^x\right) \\ x=\frac{\ln \left(\frac{7}{4}\right)}{\ln \left(\frac{1.171}{1.088}\right)} \\ x=7.61$$
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