We know that, log(xyz)=log(x)+log(y)+log(z)
But it's not true for, log(xyz)=log(x+y+z)
However, for some values of x,y and z the false property above is true.
If, −10≤x,y,z≤10 and x,y,z are integers, then find the total number of ordered triples (x,y,z) for which the equation above is true.
Note: The domain of the log function is positive reals.