Question

2 log (x-y) - log2 x = 4 + log2 y , prove that x2 +y2 = 18xy .... I want answer

Answer 1

Answer:

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

3

xy)

=log3

3

+logx+logy

=3log3+logx+logy

=R.H.S