(Q75).If x2 + y2 = 25xy, then prove that 2log(x+y) = 3log 3 + log x + log y

x2 + y2 = 25xy

Adding 2xy on both sides

x2 + y2 + 2xy = 25xy + xy

(x + y)2 = xy

log(x + y)2 = logxy

2 log(x + y) = log3xy

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

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