Question

3.
If x2 + y2 = 14 xy, then prove that
2 log(x + y) = 4 log2 + log x + log y.​

Answer 1

Step-by-step explanation:

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