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: 28

Answer

$x \approx 21.035$

Work Step by Step

$-5(1.4)^{x} - 548 = -6475$ $-5(1.4)^{x} = -6475 + 548$ $-5(1.4)^{x} = -5927$ $(1.4)^{x} = 1185.4$ $x = \log_{1.4} (1185.4)$ $x = \frac{\log 1185.4}{\log 1.4}$ by GDC / calculator $x = 21.0354...$ $x \approx 21.035$
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