Answer
$m=\displaystyle \frac{3}{2}$
Work Step by Step
$m=\log_{9}(27)\ \ $ means $\ \ 9^{m}=27$
$(3^{2})^{m}=3^{3}$
$3^{2m}=3^{3}$
$2m=3$
$m=\displaystyle \frac{3}{2}$
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: 42
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