Logan is a city in and county seat of Hocking County, Ohio, United States, along the on the Hocking River about 43 miles (69 km) southeast of Columbus. The population was 7,296 at the time of the 2020 census. The current mayor of Logan is Republican Greg Fraunfelter, who began a four-year term in January 2016 and was re-elected in 2019.

Hocking County is a county located in the U.S. state of Ohio. As of the 2020 census, the population was 28,050. Its county seat is Logan. The county was organized on March 1, 1818, from land given by Athens, Fairfield, and Ross counties. Its name is from the Hocking River, the origins of which are disputed but is said to be a Delaware Indian word meaning "bottle river". Hocking County is included in the Columbus, OH Metropolitan Statistical Area.