Mich. Comp. Laws § 390.592

Sec. 2. The ordinances shall be adopted by a majority of the members of the board. The ordinances shall take effect upon publication in a newspaper regularly circulated within Marquette county. All ordinances shall be promptly recorded in a book called "the record of ordinances" and the book, or an accurate copy thereof, shall be maintained available for public inspection in the office of the secretary of the board.