Logan is a city in Hocking County, Ohio, United States. The population was 7,152 at the 2010 census. It is the county seat of Hocking County. Logan is located in southeast Ohio, on the Hocking River 48 miles southeast of Columbus. The current mayor of Logan is Republican Greg Fraunfelter, who began a four-year term in January 2016.
According to the United States Census Bureau, the city has a total area of 4.93 square miles (12.77 km²), of which 4.79 square miles (12.41 km²) is land and 0.14 square miles (0.36 km²) is water.
As of the census of 2010, there were 7,152 people, 2,982 households, and 1,831 families residing in the city. The population density was 1,493.1 inhabitants per square mile (576.5/km²). There were 3,374 housing units at an average density of 704.4 per square mile (272.0/km²). The racial makeup of the city was 97.5% White, 0.8% African American, 0.3% Native American, 0.2% Asian, 0.3% from other races, and 0.9% from two or more races. Hispanic or Latino of any race were 0.8% of the population.
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