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{2a=x3a=yx2+y2+4xy=72+(x+y)2\large \begin{cases} 2^a = x \\ 3^a = y \\ x^2+y^2 + 4xy = 72 + (x+y)^2 \end{cases} ⎩⎪⎪⎨⎪⎪⎧2a=x3a=yx2+y2+4xy=72+(x+y)2
Given the above, find the value of aaa.
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