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 9.3 - Logarithmic Functions - Exercise Set: 59

Answer

$0$

Work Step by Step

RECALL: $\ln{1}=0$ (refer to page 698 of the textbook) Thus, the given expression is equal to 0. An alternate solution would be: RECALL: $\ln{x} = y \longrightarrow e^y=x$ Thus, $\ln{1} =y\longrightarrow e^y=1$ Note that $e^0=1$. Replace $1$ with $e^0$ to obtain: $e^y = e^0$ Use the rule "If $a^m=a^n$, then $m=n$" to obtain: $y=0$ Therefore $\ln{1}=y=0$
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