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x^(1/2) . x^(1/6) = 2
x^(1/2 + 1/6) = 2
x^(4/6) = 2
x^(2/3) = 2
²log x^(2/3) = ²log 2²
(2/3).²log x = ²log 4
²log x = (3/2).²log 4
²log x = ²log √4³
²log x = ²log 8
x = 8