If the real numbers x and y satisfy the following conditions: log logarithm of base 2 x + log logarithm of base 2 (x + y) = 1 + 2 log logarithm of base 2 y Then log is based on 2 (x △ y) =?

Log logarithm of base 2 x + log logarithm of base 2 (x + y) = 1 + 2log logarithm of base 2 y
log2(x^2+xy)=log2(2y^2)
x^2+xy=2y^2 x,y>0
(x/y)^2+(x/y)-2=0
X / y = 1 or X / y = - 2 (rounding)
Then log is based on 2 (x △ y) = log2 (1) = 0

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