Answer
$ 2+ln\ x$, shifting 2 units up.
Work Step by Step
$f(x)=ln(e^2x)=ln\ e^2+ln\ x=2+ln\ x$, the graph of this function can be obtained from $g(x)=ln\ x$ by shifting 2 units up.
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.4 Evaluation Logarithms and the Change-of-Base Theorem - 4.4 Exercises - Page 461: 103
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