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 $\ \ \log_{a}x^{r}=r\log_{a}x$
$=\log_{b}2+2\log_{b}3$
$=a+2c$
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter 2 - Nonlinear Functions - 2.5 Logarithmic Functions - 2.5 Exercises - Page 98: 34
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