Answer
$m^{-1}(r) =\log_5 r$
Work Step by Step
$m(r) = 5^{r}$
Let $m(r) = y$
$y = 5^{r}$
Swap the $r$ and $y$ variable to find the inverse:
$r = 5^{y}$
$y = \log_5 r$
$m^{-1}(r) =\log_5 r$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 6 - Logarithmic Functions - 6.2 Logarithmic Functions - 6.2 Exercises - Page 504: 87
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