Given that 30's x square = 2010 and 67's y square = 2010, then 2 / x + 2 / y =?

Analysis: ∵ 30 ^ x = 2010 = 30 * 67, that is, 30 ^ (x-1) = 67,
67 ^ y = 2010 = 67 * 30, that is 67 ^ (Y-1) = 30,
∴30^(x-1)(y-1)=67^(y-1)=30,
∴(x-1)(y-1)=1
xy-x-y=0
x+y=xy
XY ≠ 0, 1 / x + 1 / y = 1
∴2/x+2/y=2

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