Question 914714
your  work:

{{{log(x^2-4)-log(x^3)-log(x+1)}}} this is correct

= {{{2log((x-4)) -3log((x))-log((x+1))}}} ...this part {{{2log((x-4))}}} is incorrect; you have {{{(x^2-4)=x^2-2^2=(x-2)(x+2)}}}, only if you have {{{log((x-4)^2)}}} you can write it as {{{2log((x-4))}}}

so, 
{{{log((x^2-4))+3log((x))-log((x+1))}}}