Answer:
(1,0)
Explanation:
Since log (x+y) = 0 you should know x+y = 1
so y = (1-x)
then 2 logx = log (y+1)
log x^2 = log (1-x +1) = log (2-x)
x^2 = 2-x
x^2 + x-2 = 0
(x+2)(x-1) = 0 so x = -2 or +1
then y = 3 or 0
-2,3 and 1,0 since you cannot have a log of a negative number
the only answer is (1,0)