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: 48


$x \approx 48.138$

Work Step by Step

Since $e^a=e^b$ if $a=b$ and $e^{\ln a}=a$, the equation can be written as $$3x+4=e^5$$ Subtract $4$ from both sides to get $$3x=e^5-4$$ Divide both sides by $3$ to get $$x = \frac{e^5-4}{3} \approx 48.138$$
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