Answer
(a) $ 6$
(b) $ ln3$
(c) $ ln9$
Work Step by Step
Given $f(x)=ln\ x$, we have:
(a) $f(e^6)=ln(e^6)=6$
(b) $f(e^{ln3})=ln(e^{ln3})=ln3$
(c) $f(e^{2ln3})=ln(e^{2ln3})=2ln3=ln9$
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 460: 97
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