Answer
$x=-2$
Work Step by Step
$9^{x-1} = 27^x$
$9^{x-1} = (9\times9^{1/2})^x$
$9^{x-1} = (9^{3/2})^x$
$9^{x-1} = 9^{\frac{3x}{2}}$
$x-1=\frac{3x}{2}$
$2x-2=3x$
$x=-2$
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