Question

x²+y²=25xy then prove that 2log(x+y)=3log3+logx+logy. prove this please fast

Answer 1

Hi...☺

Here is your answer...✌
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x²+y² = 25xy ___(1)

Now,
We know that,

(x+y)² = x²+y²+2xy

(x+y)² = 25xy+2xy ___From (1)

(x+y)² = 27xy

Taking Logarithm both sides

log(x+y)² = log(27xy)

2log(x+y) = log27 + logx + logy

2log(x+y) = log(3³) + logx + logy

2log(x+y) = 3log3 + logx + logy

HENCE PROVED ✌