Question

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

Answer 1

Hey,

 x²+y²=25xy

adding 2xy on both sides,

x²+y²+2xy=27xy

[x+y]²=27xy

taking log on both sides,

log[x+y]²=log27xy

2log[x+y]=log3³+log x+log y

2 log[x+y]=3log3+logx+logy

HOPE IT HELPS YOU:-))