Question

1)
31. x² + y2 = 25xy then prove that 2log(x+y)=3log3+logx+logy​

Answer 1

Answer:

Given

x2+y2=25xy....(1)

L.H.S=2log(x+y)

=log(x+y)2

=log(x2+y2+2xy)

=log(25xy+2xy)    [ from (1)]

=log(27xy)

=log(33xy)

=log33+logx+logy

=3log3+logx+logy

=R.H.S