## Precalculus (6th Edition) Blitzer

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