Answer
$x\approx-1.00$
Work Step by Step
Find the natural log of both sides and then pull out the exponent to the left side ($\ln$ and $e$ cancel each other out). Then solve for $x$.
$e^{1-8x}=7957$
$1-8x=\ln(7957)$
$8x=1-\ln(7957)$
$x=\frac{1-\ln(7957)}{8}$
$x\approx-1.00$
