"God did it" is not logical. But the fact that matter could not have created itself leads to the Creator from the outside of it is.
Sounds logical, but then its opens new questions that are Old.... What created God - He couldnt create himself could he. thats not logical... but if he didnt have a beginning? thats not logical either.
Sorry your Logic only goes so far before it fails.
Will the next post say, but hes god? he doesnt need to follow logic.... thats when I get myself a coffee and have a laugh at how there topics always end in a stalemate for both parties - can't agrue with that answer really.. but ill say prove it, and you can;t.......