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 - Page 727: 61


$x \approx 0.61$

Work Step by Step

Subtract $6$ on both sides to obtain: $2\ln{x} = -1$ Divide $2$ on both sides of the equation to obtain: $\ln{x} = -\dfrac{1}{2}$ RECALL: $\ln{x}= y \longrightarrow e^y=x$ Use the rule above to obtain: $e^{-\frac{1}{2}}=x$ Use a calculator to obtain: $x=0.6065306597 \\x \approx 0.61$
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