Question

21. If x2+y2 = 25xy, then prove that 2 log(x+y) = 3log3+ logr+logy​

Answer 1

x^2+Y^2=25x

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

(x+y)^2=25xy+2xy

(x+y)^2=27xy

Apply log on both sides

Log(x+y)^2=Log27xy

2Log(x+y)=Log3^3+Logx+Logy

2Log(x+y)=3Log3+Logx+Logy

hence proved