Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.3 - Properties of Logarithms - Exercise Set - Page 476: 90


False. A true statement: $\ln e^{e}=e $

Work Step by Step

Logarithms are defined for positive numbers only (not 0). The LHS is undefined, so the statement is false. The LHS can be changed to equal e using a basic property, $\log_{b}b^{x}=x $. $\ln x $ means $\log_{e}x $, so we substitute both b and x with e to obtain $\ln e^{e}=e $
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