[5] Logan was platted in 1867 when Chicago and North Western Railway was extended to that point.

[6] It was named for John A. Logan, a Union Army general.

[7] According to the United States Census Bureau, the city has a total area of 1.00 square mile (2.59 km2), all of it land.

There were 636 housing units at an average density of 632.7 per square mile (244.3/km2).

Hispanic or Latino persons of any race comprised 1.4% of the population.

There were 649 housing units at an average density of 649.0 per square mile (250.6/km2).

27.2% of all households were made up of individuals, and 14.1% had someone living alone who was 65 years of age or older.

There were 660 housing units at an average density of 650.5 per square mile (251.2/km2).

32.2% of all households were made up of individuals, and 18.1% had someone living alone who was 65 years of age or older.