x ^2 + y ^2 = 23 xy. 2× log ( x+y ) =
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Given;
x²+y² = 23xy .
Adding 2xy to both sides.
x²+y²+2xy = 25xy
(x+y)²=25xy.
Take log on both sides .
log(x+y)² = log25xy .
2log(x+y) = log5²xy
2log(x+y) = log(5²*xy)
2log(x+y) = log5² + logxy.
2log(x+y) = 2log5+logxy.
x²+y² = 23xy .
Adding 2xy to both sides.
x²+y²+2xy = 25xy
(x+y)²=25xy.
Take log on both sides .
log(x+y)² = log25xy .
2log(x+y) = log5²xy
2log(x+y) = log(5²*xy)
2log(x+y) = log5² + logxy.
2log(x+y) = 2log5+logxy.
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