Answer
x=1
Work Step by Step
$\log_{4}x - \log_{4}(x+3) = -1$
means $\log_{4}\frac{x}{x+3}=-1$
$\frac{x}{x+3}=4^{-1}$
$x=\frac{x}{4}+\frac{3}{4}$
$\frac{3}{4}x=\frac{3}{4}$
$x=1$
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