The first half of the game was hard to watch but the second half was hard to believe.
Todd County's Terrance Moore scored from two yards out to make it 6-0 Rebels at the 10:17 mark of the first quarter.
Nearly 25 minutes of game time expired before the next score when Thomas Washington threw a 52-yard touchdown pass at the 10:01 mark of the third quarter.
The Cougars quickly scored another touchdown and then Washington threw a 56-yard touchdown pass to Timron Knox to make it 21-6 at the 6:36 mark.
After Moore countered with a 20-yard touchdown run, Andrew Bunton returned the ensuing kickoff 72 yards to give the Cougars a 28-14 advantage.
Logan County scored three more touchdowns in the final 5:25 of the period to post a 43 points in the quarter.
Logan County (2-2) hosts Russell County next week while Todd County Central (1-3) hosts Fort Campbell.