Answer
$x \approx -1.14$
Work Step by Step
The base in the exponential equation is $e$, so take the natural logarithm on both sides to obtain
$\ln{e^{1-5x}}=\ln{793}.$
Use the property $\ln{e^b}=b$ (where b=1-5x) on the left side to obtain
$1-5x = \ln{793}.$
Solve for $x$:
$1-5x = \ln{793}
\\-5x=\ln{793} - 1
\\x=\dfrac{\ln{793}-1}{-5}.$
Use a calculator and round-off the answer to two decimal places to obtain
$x \approx -1.14.$
