Answer
$x = 2$
Work Step by Step
$\log_4(x+2) - \log_4(x-1) = 1$
$\log_4 \frac{(x+2)}{(x-1)} = 1$
$4 = \frac{(x+2)}{(x-1)}$
$4(x-1) = x + 2$
$4x - 4 = x + 2$
$4x - x -2 -4 = 0$
$3x - 6 = 0$
$3x = 6$
$x = 2$
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