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: 16



Work Step by Step

Using the rules of logarithms, we find: $$\ln \left(1.7\cdot \:2.1^{3x}\right)=\ln \left(2\cdot \:4.5^x\right) \\ \ln \left(1.7\right)+3x\ln \left(2.1\right)=\ln \left(2\right)+x\ln \left(4.5\right) \\ x=\frac{\ln \left(\frac{2}{1.7}\right)}{\ln \left(\frac{9.261}{4.5}\right)} \\ x=0.225$$
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