Question

25^x=2000,80^y=2000,求xy分之x+y的值

Answer 1

(25^x)^y=25^(xy)=2000^y

(89^y)^x=80^(xy)=2000^x

25^(xy)×80^(xy)=(25×80)^(xy)=2000^(xy)

=2000^x×2000^y=2000^(x+y)

xy=x+y

(x+y)/xy=1