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: 19

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 $x = 2.31898...$ $x \approx 2.319$
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