I cannot use one without the other. As an INTJ, intuition is my dominant function, and one of my strongest assets. As far as I understand, intuition is a kind of logic; intuition is not to be ignored, because it is based on tangible details of the external environment, whether a person is immediately and/or consciously aware of it or not. Once my intuition locks into my conscious understanding (as I listen to what it is trying to tell me), I will then put it into logical terms. The cycle of information processing has been complete, and I have what I need to make a decision. I need them both (logic and intuition), they go hand in hand for me, and I don't necessarily see them as being opposites.
I believe that well-functioning intuition generally goes undervalued and underappreciated. In my personal experience, ignoring, or even dismissing my own intuitions as irrelevant, more often than not, has led to negative outcomes and consequences - the very same ones my intuition had warned me of, because a powerful intuition has a remarkably sound basis, regardless of whether or not it is readily translated or put into words. I often find that after reflecting on my intuitions, I actually can put them into logical terms; they do not function contrary to one another. They work together. Then again, this is speaking of healthy intuition that observes and percieves reality at objective value. It is when one's intuitions are, whether consciously or unconsciously, twisted and altered - within the mind of the user - with personal bias, unrealistic expectations and ideals, baseless opinions, and/or false information that intuition seems to be most fallible, inaccurate, and unreliable, which, in turn, no doubt, can lead to making illogical decisions.