## Intermediate Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 9 - Section 9.4 - Properties of Logarithms - Exercise Set - Page 713: 75

#### Answer

false; Corrected statement: $\ln{e} = 1$

#### Work Step by Step

RECALL: $\ln_b{x}=y \longrightarrow e^y=x$ Thus, if $\ln{e}=y$, then $e^y=e$ Using the rule $a^m=a^n \longrightarrow m=n$ gives: $y=1$ Therefore, $\ln{e} = 1$ Thus, the statement is false. A correct statement would be: $\ln{e} = 1$.

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