Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.7 - Common Logarithms, Natural Logarithms, and Change of Base - Exercise Set: 44

Answer

$x=\frac{e^{3.4}-5}{2}\approx12.4821$

Work Step by Step

$\ln (2x+5)=3.4$ Rewriting in exponential form, $2x+5=e^{3.4}$. Now solving for x: $2x+5=e^{3.4}$ $2x=e^{3.4}-5$ $x=\frac{e^{3.4}-5}{2}\approx12.4821$.
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