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 - Page 98: 49

Answer

$m=\frac{-1}{20}$

Work Step by Step

$\log_{9}m - \log_{9}(m -4)=-2$ $\log_{9}\frac{m}{m-4}=-2$ $\frac{m}{m-4}=9^{-2}$ $m= \frac{1}{81}(m-4)$ $\frac{80}{81}m=\frac{-4}{81}$ $m=\frac{-1}{20}$
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