Logan was elected as a Democratic Republican to the United States Senate and served from March 4, 1819, to May 28, 1820, when he resigned to run for governor in 1820. (He did not succeed, instead serving as a commissioner of the Kentucky River Company.)
Logan was chosen as a Democratic-Republican senator and served from March 4, 1819, to May 28, 1820, before stepping down to compete for governor in 1820. Unfortunately, he failed to win, instead taking on the role of commissioner for the Kentucky River Company.