Answer
$x \approx -1.00$
Work Step by Step
The base in the exponential equation is $e$, so take the natural logarithm on both sides to obtain
$\ln{e^{1-8x}}=\ln{7957}.$
Use the property $\ln{e^b}=b$ (where b=1-8x) on the left side to obtain
$1-8x = \ln{7957}.$
Solve for $x$:
$1-8x = \ln{7957}
\\-8x=\ln{7957} - 1
\\x=\dfrac{\ln{7957}-1}{-8}.$
Use a calculator and round-off the answer to two decimal places to obtain
$x \approx -1.00.$
