Log Cabin is a city in Henderson County, Texas, United States. The population was 678 at the 2020 census. Log Cabin is located in west…Log Cabin is a city in Henderson County, Texas, United States. The population was 678 at the 2020 census. Log Cabin is located in western Henderson County and bordered to the south by Caney City. Texas State Highway 198 passes through the west side of Log Cabin, leading northwest 14 miles to Mabank and south 4 miles to Malakoff. Athens, the Henderson county seat, is 13 miles to the east by road.