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: 17

Answer

$x \approx 9.002$

Work Step by Step

$604(0.4)^{x} = 0.158$ $0.4^{x} = \frac{0.158}{604}$ $x = \log_{0.4} {\frac{0.158}{604}}$ by GDC / calculator $x = 9.0023...$ $x \approx 9.002$
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