Use the law of logarithms to expand an expression $$\log\sqrt [ 3 ]{ \frac { x+2 }{ x^{ 4 }(x^{ 2 }+4) }  } $$
How is this answer incorrect?
$$\frac { 1 }{ 3 } [\log(x+2)-(4\log x+\log(x^ 2+4))]$$

with this simplify you have to know that your domain will be changed and that is not exactly with your initial question.suppose you want to simplify 
 
this you can't input negative integer in this,but if you simplify that:

that you can input negative numbers,so domain changed.
