Høst made his debut in the Scandinavian Cup in Sjusjøen in December 2012 , where he finished 66th in the classic mass start over 30 km. In January 2012 Høst was 17th in the Jizera Mountains Run and in March of the same year ranked 14th in the Birkebeinerrennet . In the following year he finished 15th in the Jizera Mountains Run. In January 2016 Høst was seventh at jizerská padesátka and ended the Marcialonga in 13th the Vasaloppet March 2016 ended Høst in third place on the podium.