Answer
$5.8$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the properties of logarithms to evaluate the given expression, $
\ln e^{5.8}
.$
$\bf{\text{Solution Details:}}$
Using the Power Rule of Logarithms, which is given by $\log_b x^y=y\log_bx,$ the expression above is equivalent to
\begin{array}{l}\require{cancel}
5.8\ln e
.\end{array}
Since $\ln e=1,$ the expression above is equivalent to
\begin{array}{l}\require{cancel}
5.8(1)
\\\\=
5.8
.\end{array}