Incorrect result of nonlinsolve

[proy87]

nonlinsolve([-y+4*log(x),-4+4*log(y)/x], x,y) returns FiniteSet((log(y), y)), but this is incorrect.

[proy87]

nonlinsolve([(-x*y**2+y), (-x**2*y+x)],x,y) returns FiniteSet((1/y, y)), but there is another solution, namely, (0,0).

[smichr]

Hmm..solve works on the second one.