设3的x方=4的y方=36,求2/x+1/y=?

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设3的x方=4的y方=36,求2/x+1/y=?
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设3的x方=4的y方=36,求2/x+1/y=?
设3的x方=4的y方=36,求2/x+1/y=?

设3的x方=4的y方=36,求2/x+1/y=?
3^x=36,4^y=36
(3^x)^y=3^xy=36^y
(3^xy)^2=3^2xy=(3^2)^xy=9^xy=36^2y
(4^y)^x=4^xy=36^x
所以9^xy*4^xy=36^xy=36^2y*36^x=36^(x+2y)
所以xy=x+2y
2/x+1/y=(x+2y)/xy=xy/xy=1