Question

if x²+y²=25xy, then prove that 2log (x+y)=3log 3+log x +log y​

Answer 1

Answer:

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