lgxy/lgx+lgxy/lgy +{[lg(x-y)]^2}/lgxlgy=0
lgxy(lgx+lgy)/lgxlgy +{[lg(x-y)]^2}/lgxlgy=0
{(lgxy)^2+[lg(x-y)]^2}/lgxlgy=0
所以(lgxy)^2+[lg(x-y)]^2=0
(lgxy) 和 lg(x-y)=0
xy=1 x-y=1
log2(xy)=log2(1)=0
lgxy/lgx+lgxy/lgy +{[lg(x-y)]^2}/lgxlgy=0
lgxy(lgx+lgy)/lgxlgy +{[lg(x-y)]^2}/lgxlgy=0
{(lgxy)^2+[lg(x-y)]^2}/lgxlgy=0
所以(lgxy)^2+[lg(x-y)]^2=0
(lgxy) 和 lg(x-y)=0
xy=1 x-y=1
log2(xy)=log2(1)=0