Answer
$x=-4.01$
Work Step by Step
Remember that $10^{\log x}=x$ (Inverse Property)
$\log(-x-4)=-2$
$10^{\log(-x-4)}=10^{-2}$
$-x-4=\frac{1}{10^2}=0.01$
$-4-0.01=x$
$x=-4.01$
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