Intermediate Algebra: Connecting Concepts through Application

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: 51

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$ $= -4(5^{2}) - 9$ $= -4(25) - 9$ $= -100 - 9$ $= -109$
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