Question

If e-X = 6. write x in terms of the natural logarithm. O In 6 In -6 O -In 6 06

Answer 1

$e^{-x}=6$

to cancel the exponential we apply natural log on both sides

$\begin{gathered} \ln (e^{-x})=\ln 6 \\ -x=\ln 6 \end{gathered}$

multiply -1 on each side

$x=-\ln 6$