Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - 2.5 Logarithmic Functions - 2.5 Exercises: 36

Answer

$2c+2$

Work Step by Step

$9=3^{2}$ $\log_{b}(9b^{2})=\log_{b}(3^{2}\cdot b^{2})$ ... apply $\ \ \log_{a}xy=\log_{a}x+\log_{a}y$ $=\log_{b}3^{2}+\log_{b}b^{2}$ ... apply $\ \ \log_{a}x^{r}=r\log_{a}x$ ... apply $\ \ \log_{b}b=1$ $=2\log_{b}3+2\cdot 1$ $=2c+2$
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