Logan County is a county in the U.S. state of Ohio. As of the 2010 census, the population was 45,858. The county seat is Bellefontaine. The county is named for Benjamin Logan, who fought Native Americans in the area.Logan County comprises the Bellefontaine, OH Micropolitan Statistical Area, which is also included in the Columbus-Marion-Zanesville, OH Combined Statistical Area.GeographyAccording to the U.S. Census Bureau, the county has a total area of, of which is land and (1.8%) is water. Campbell Hill, the highest natural point in Ohio at 1549ft, is located northeast of Bellefontaine.Adjacent countiesHardin County (north)Union County (east)Champaign County (south)Shelby County (west)Auglaize County (northwest)