"Faith - Belief in something one cannot observe or reasonably conclude.
Reasonable - Having sound reasoning."
Your definitions do not allow faith to be reasonable, however, faith actually is (and the definitions here are very flawed as they are). It is not one's conclusion or belief that is logical or illogical---it is how one reached it. Philosophers have been coming up with sound/valid arguments on behalf for centuries, millennia even, and conversely philosophers have been coming up with sound/valid arguments against it for about as long.
Faith is rational provided one reached it or can justify it through acceptable tenets of logic. Failing this, one's faith would be irrational. That being said, the same goes for the opposite. If one is atheist/anti-theist due to logic, that position is rational. Failing that, an atheist/anti-theist would be irrational. Most people on both sides are manifestly irrational since very few people are actually taught logic or philosophy (which includes months of studying logic before getting into the Big Questions).
Logic will never conclusively lead to one side definitively defeating the other side, for logical debate is like a game of rock-paper-scissors where all participants take turns and the game doesn't have any conditions for victory.
