Answer
$x \approx 2.319$
Work Step by Step
$5(3.2)^{x} = 74.2$
$3.2^{x} = \frac{74.2}{5}$
$x = \log_{3.2} (\frac{74.2}{5})$
by GDC / calculator
$x = 2.31898...$
$x \approx 2.319$
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 6 - Logarithmic Functions - 6.5 Solving Exponential Equations - 6.5 Exercises - Page 526: 19
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