Answer
$x \approx -1.00$
Work Step by Step
RECALL:
$\ln{e^a} = a$
Take the natural logarithm of both sides to obtain:
$\ln{e^{1-8x}}=\ln{7957}$
Use the rule above to obtain:
$1-8x=\ln{7957}$
Subtract $1$ on both sides to obtain:
$-8x = -1+\ln{7957}$
Divide $-8$ on both sides of the equation to obtain:
$x = \dfrac{-1+\ln{7957}}{-8}$
Use a scientific calculator to obtain:
$x=-0.9977259154
\\x \approx -1.00$
