College Algebra (11th Edition)

by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie

Published by Pearson

ISBN 10: 0321671791

ISBN 13: 978-0-32167-179-0

Chapter 4 - Section 4.4 - Evaluating Logarithms and the Change-of-Base Theorem - 4.4 Exercises - Page 439: 104

Answer

$f(x)$ is obtained when $g(x)$ is translated $1$ unit down.

Work Step by Step

Using properties of logarithm: $$f(x)=\ln\left(\frac xe\right)=\ln(x)-\ln(e)=\ln(x)-1=g(x)-1$$ $f(x)$ is obtained when $g(x)$ is translated $1$ unit down.

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