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