Question

x ^2 + y ^2 = 23 xy. 2× log ( x+y ) =

Answer 1

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.