Answer
$x \approx -0.19$
Work Step by Step
The base in the exponential equation is $e$, so take the natural logarithm on both sides to obtain
$\ln{e^x}=\ln{0.83}.$
Use the inverse property $\ln{e^x}=x$ on the left side of the equation to obtain
$x=\ln{0.83}.$
Use a calculator and round-off the answer to two decimal places to obtain
$x \approx -0.19.$
