Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 6 - Logarithmic Functions - 6.5 Solving Exponential Equations - 6.5 Exercises: 45

Answer

$t = 12$

Work Step by Step

$10(2^{t}) - 450 = 6(2^{t}) + 15934$ $10(2^{t}) - 6(2^{t}) = 450 + 15934$ $(10-6)(2^{t}) = 16,384$ $4(2^{t}) = 16,384$ $2^{t} = 4096$ $2^{t} = 2^{12}$ $t = 12$
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