Answer
$m =2 $
Work Step by Step
$-4(5^{m}) - 9 = -109$
$-4(5^{m}) = -109 + 9$
$-4(5^{m}) = -100$
$5^{m} = 25$
$5^{m} = 5^{2}$
$m = 2$
Check:
$ -4(5^{m}) - 9$
$= -4(5^{2}) - 9$
$= -4(25) - 9$
$= -100 - 9$
$= -109$
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 5 - Exponential Functions - 5.2 Solving Equations Using Exponent Rules - 5.2 Exercises - Page 438: 51
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