Answer
$4.16*e^{x}=2$
$e^x=\frac{2}{4.16}=0.4808$
$\log_{e}0.4808=x$
$\ln{0.4808}=x$
$-0.7323=x$
Work Step by Step
The definition of the logarithm function can be translated into mathematical formulas such as the following. The given expressions are equivalent.
The exponential form: $b^{x}=a$
The logarithmic form: $\log_{b}a=x$.
The given equation can be solved with the logarithmic form, therefore we shall transform it:
$4.16*e^{x}=2$
$e^x=\frac{2}{4.16}=0.4808$
$\log_{e}0.4808=x$
$\ln{0.4808}=x$
$-0.7323=x$
