I'm going to try my hand at a slightly different question: "Do the laws of logic apply to god in the same way that they apply to humans."
To answer this question, we need to understand what logic is. But first let's take a look at 'reason'. A quick google search shows that the word 'reason' is a verb that means: to think, understand, and form judgements logically. Supposedly, one uses reason when ones judgements are formed logically. Here, logic is something like a cookbook recipe. It is a set of instructions that can help one to prepare and bake an argument. Reason, on the other hand, is the actual process of preparing and baking. I believe that this relationship is accurate; except I do not agree that this is real purpose of logic. Logic IS a set of instructions, but not instructions to prepare and bake an argument. Rather, it is a set of rules that one can use to derive true conclusions from true premises. Another way of thinking about this is to compare it to a road code. Road codes are rules that must be observed when driving on the road. The laws of logic are rules that must be observed when one wants to derive true conclusions from true premises.
We can now slightly change the original question "Do the laws of logic apply to god in the same way that they apply to humans" to "If God wants to derive true conclusions from true premises, does he have to follow the laws of logic". The answer is an obvious YES! The reason is because the word 'derive' literally means 'obtain using logic'. Which means that what we are really asking here is: "If god wants to obtain true conclusions using logic, does he have to use logic". This might seem like a cheap answer to you -- it certainly does to me -- but this is only because the question itself was not a good question.