Question

if x square +y square=14xy then prove that 2log (x+y)=4 log square+logx+logy

Answer 1

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

3

xy)

=log3

3

+logx+logy

=3log3+logx+logy

=R.H.S