Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 5 - Logarithmic Functions - 5.1 Logarithms and Their Properties - Exercises and Problems for Section 5.1 - Exercises and Problems - Page 193: 25

Answer

$=\frac{1}{2}$

Work Step by Step

Using the fact that $\sqrt{a}=a^\frac{1}{2}$, the expression can be rewritten as $\ln e^\frac{1}{2}$. It is known that $e^{\ln a}=a$ for all positive values. Therefore, $\ln e^{\frac{1}{2}}=\frac{1}{2}$.
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