Given that x2+y2=5xy, show that log(x-y/√3)=1/2(logx+logy)

Answer 1

x^2 + y^2 = 5xy
x^2 - 2xy + y^2 = 5xy - 2xy
(x-y)^2 = 3xy

(x-y)^2/3 = xy
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