Precalculus (6th Edition)

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: 96

Answer

(a) $ 2$ (b) $ ln3$ (c) $ 2ln3$

Work Step by Step

Given $f(x)=3^x$, we have: (a) $f(log_32)=3^{log_32}=2$ (b) $f(log_3(ln3))=3^{log_3(ln3)}=ln3$ (c) $f(log_3(2ln3))=3^{log_3(2ln3)}=2ln3$
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