Answer
$x=-0.223$
Work Step by Step
$\frac{1}{1-e^x}=5$
$1=5-5e^x$
$5e^x=4$
$e^x=\frac{4}{5}$
$\ln e^x=\ln\frac{4}{5}$
$x=\ln\frac{4}{5}=-0.223$
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