How do you evaluate ${ln e}^{5 x}$ $lne^(5x)$ ?

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Answer 1 · 2016-10-30T03:26:40

$5 x$ $5x$

Evaluate ${ln e}^{5 x}$ $lne^(5x)$

Recall the log formula ${log x}^{a} = a log x$ $logx^a= alogx$

${ln e}^{5 x} = 5 x ln e$ $lne^(5x)=5xlne$

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

$5 x ln e = 5 x$ $5xlne = 5x$

How do you evaluate lne^(5x)lne5xlne^(5x)?