How do you evaluate lne^(5x)?

Oct 30, 2016

$5 x$

Explanation:

Evaluate $\ln {e}^{5 x}$

Recall the log formula $\log {x}^{a} = a \log x$

$\ln {e}^{5 x} = 5 x \ln e$

And because $\ln e = 1$...

$5 x \ln e = 5 x$