Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 9 - Section 9.5 - Exponential and Logarithmic Equations - Exercise Set: 62

Answer

$x \approx 0.72$

Work Step by Step

Subtract $7$ on both sides to obtain: $3\ln{x} = -1$ Divide $3$ on both sides of the equation to obtain: $\ln{x} = -\dfrac{1}{3}$ RECALL: $\ln{x}= y \longrightarrow e^y=x$ Use the rule above to obtain: $e^{-\frac{1}{3}}=x$ Use a calculator to obtain: $x=0.7165313106 \\x \approx 0.72$
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