$ 2^{2x}\cdot 2^{\frac{x}{2}} = 2^{3(x-1)} $
$ 2^{2x + \frac{x}{2}} = 2^{3(x-1)} $
$ 2x + \frac{x}{2} = 3(x-1) $
$ 4x + x = 6x-6 $
$ x = 6 $
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