Logan is a city in and county seat of Hocking County, Ohio, United States, along the on the Hocking River about 43 miles southeast of Columbu…Logan is a city in and county seat of Hocking County, Ohio, United States, along the on the Hocking River about 43 miles 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 and again in 2023.
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