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Verified answer
3^2x=√27^2/33^2x=3^(3/2*2/3)
3^2x=3^1
2x=1
x=1/2
3^(2x) = √27^(2/3)
3^(2x) = √3^(3 x 2/3)
3^(2x) = √3^(2)
3^(2x) = 3^(2/2)
3^(2x) = 3^1
2x = 1
x = 1/2