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: 34

Answer

$a+2c$

Work Step by Step

$\log_{b}18=\log_{b}(2\cdot 9)$ ... apply $\ \ \log_{a}xy=\log_{a}x+\log_{a}y$ $=\log_{b}2+\log_{b}9$ $=\log_{b}2+\log_{b}3^{2}$ ... apply $\ \ \log_{a}x^{r}=r\log_{a}x$ $=\log_{b}2+2\log_{b}3$ $=a+2c$
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