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 - 6.6 Solving Logarithmic Equations - 6.6 Exercises - Page 534: 10

Answer

$x \approx12.3995$

Work Step by Step

$\ln (4x+5) = 4$ $\log_e (4x+5) = 4$ $4x + 5 = e^{4}$ $4x = e^{4} - 5$ $x = \frac{e^{4}-5}{4}$ $x \approx12.3995$ Check: $\ln (4( \frac{e^{4}-5}{4})+5) \overset{?}{=} 4$ $\ln(e^{4}-5+5) \overset{?}{=} 4$ $\log_e (e^{4}) \overset{?}{=} 4$ $4 = 4$
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