Question

If x^2+y^2=25xy,then prove that 2log(x+y)=3log3+logx+logy

Answer 1

(x+y)^2 = x^2 + y^2 + 2xy =27xy

log (x+y)^2 = log27xy

2log(x + y) = log3^3 + logx + logy = 3log3 + logx + logy