1)
31. x² + y2 = 25xy then prove that 2log(x+y)=3log3+logx+logy
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Answer:
Given
x2+y2=25xy....(1)
L.H.S=2log(x+y)
=log(x+y)2
=log(x2+y2+2xy)
=log(25xy+2xy) [ from (1)]
=log(27xy)
=log(33xy)
=log33+logx+logy
=3log3+logx+logy
=R.H.S
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