Answer
$x \approx -1.14$
Work Step by Step
RECALL:
$\ln{e^a} = a$
Take the natural logarithm of both sides to obtain:
$\ln{e^{1-5x}}=\ln{793}$
Use the rule above to obtain:
$1-5x=\ln{793}$
Subtract $1$ ob both sides to obtain:
$-5x = -1+\ln{793}$
Divide $-5$ on both sides of the equation to obtain:
$x = \dfrac{-1+\ln{793}}{-5}$
Use a scientific calculator to obtain:
$x=-1.135164644
\\x \approx -1.14$
