Answer
$t = 6$
Work Step by Step
$-6(2^{t}) - 25 = - 409$
$-6(2^{t}) = -409 + 25$
$-6(2^{t}) = -384$
$2^{t} = 64$
$2^{t} = 2^{6}$
$t = 6$
Check:
$ -6(2^{t}) - 25$
$= -6(2^{6}) - 25$
$= -6(64) - 25$
$= -384 - 25$
$= -409$
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: 52
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