Intermediate Algebra for College Students (7th Edition)

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RECALL: $\ln{x}=y \longrightarrow e^y=x$ Let $\ln{e}=y$ Use the definition above to obtain: $e^y=e \\e^y=e^1$ Use the rule $a^m = a^n \longrightarrow m=n$ to obtain: $y=1$ Thus, $\ln{e} = y = 1$