Most religions acknowledge either supplemental or higher authorities than that of human reason.
Generally, the ultimate origin of this authority is God, some universal consciousness, etc. As I've expressed on BasisForObjectivity and MaterialistDialectic , I disagree with the notion that human reason can serve as the ultimate authority on nature and experience. I hold that God is the ultimate authority regarding the nature and disposition of his creation. As such this includes our observation of ourselves and the world around us, and the Bible. Specific individual revelation would also be included in this list, though I'm very leery as to claiming any particular case exhibits personal revelation.