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 - Exercises to Skills for Chapter 5 - Page 232: 40


$x \approx 0.783$

Work Step by Step

Take the natural log of both sides to get $$\ln 12^x = \ln 7$$ Since $\ln a^b=b \ln a$, the equation becomes $$x \ln 12 = \ln 7$$ Divide both sides by $\ln 12$ to get $$x=\frac{\ln 7}{\ln 12}\approx0.783$$
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