From: //noreply@axelvogt.de   
      
   assume(x::real, 0 <> x); # getassumptions(x);   
      
   ln(x^2)-2*ln(abs(x));   
   combine(%); simplify(%) ;   
      
                                    ln(1)   
                                      0   
      
   or you do it for each x < 0, 0 < x   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)