Precalculus (6th Edition) Blitzer

Published by Pearson

Chapter 3 - Section 3.2 - Exponential Functions - Exercise Set - Page 464: 87

Answer

$0$

Work Step by Step

RECALL: $y=\ln{x} \longrightarrow e^y=x.$ Note that $1 = e^0$. Thus, the given expression can be written as $\log{e^0}.$ Let $y=\ln{e^0}.$ Use the rule above to obtain $y=\ln{e^0} \longrightarrow e^y=e^0.$ Use the rule "If $a^x=a^y$, then $x=y$" to obtain $y=0.$ Therefore, $\ln{1}= \ln{e^0} = 0.$

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