Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - Chapter Review - Review Exercises - Page 345: 13

Answer

(a) $ 81$ (b) $ 2$ (c) $ \frac{1}{9}$ (d) $ -3$

Work Step by Step

Given $f(x)=3^x$ and $g(x)=log_3x$, we have: (a) $f(4)=3^4=81$ (b) $g(9)=log_39=log_33^2=2$ (c) $f(-2)=3^{-2}=\frac{1}{9}$ (d) $g(\frac{1}{27})=log_3(\frac{1}{27})=log_33^{-3}=-3$
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