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: 12



Work Step by Step

Using the rules of logarithms, we find: $$\ln \left(5\right)+\ln \left(1.15^t\right)=\ln \left(8\right)+\ln \left(1.07^t\right) \\ t=\frac{\ln \left(\frac{8}{5}\right)}{\ln \left(\frac{1.15}{1.07}\right)} \\ t=6.518$$
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