Answer
$k = 3$
Work Step by Step
$4(5^{k}) + 8(5^{k}) = 1500$
$(4 + 8)(5^{k}) = 1500$
$12(5^{k}) = 1500$
$5^{k} = 125$
$5^{k} = 5^{3}$
$ k = 3$
Check:
$ 4(5^{k}) + 8(5^{k})$
$= 4(5^{3}) + 8(5^{3})$
$= 4(125) + 8(125)$
$= 500 + 1000$
$= 1500$
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: 54
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