Question

X2 + Y2 = 25XY then prove that 2 log (x + y) = 3log3 + logx + logy

Answer 1

Given x²+y²=25xy Now add 2xy on both sides Then, X²+y²+2xy=27xy (X+y)²=27xy Apply log on both sides Log( x+y)²=log27xy By expanding 2log(x+y)=log27+logx + logy 2log(x+y)=3log3+logx + logy