Answer
$\ln 5-\ln 3=\ln \frac{5}{3}$
Work Step by Step
Here, $f(x)=\ln (5x)$ and $g(x)=\ln (3x)$
Now,
$|f(x)-g(x)|=|(\ln x+\ln 5)-(\ln x+\ln 3)|$
Thus,
$|f(x)-g(x)|=\ln 5-\ln 3$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 7 - Practice Exercises - Page 421: 23
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