Question

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

Answer 1

here is the answer for your question

Answer 2

Answer:

Given,

x^2+y^2 =25xy....(1)

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

=log(x+y)^2

=log(x^2 +y^2 +2xy)

=log(25xy+2xy) [ from (1)]

=log(27xy)

=log(3^3xy)

=log3^3 + logx + logy

=3log3+logx+logy

=R.H.S.