SC forced 28 turnovers, which made up for a minus-17 (41-24) rebounding disadvantage. The Black Eagles only turned the ball over 10 times and just four times in the second half.
"We're still trying to find ourselves to a certain extent,'' said SC coach Gary Greene, who returned to the bench after a one-year hiatus. "I thought tonight the kids had good chemistry. Unselfish play all three [of our] games.''
Logan, which opened its season Wednesday, is adjusting to life with a bull's-eye on its back after making a run to last season's Class AAA state title game - its first in school history - before falling to Parkersburg South.
"I think by the end of the year we will be a top-five team without a doubt,'' said Logan coach Kevin Gertz, who saw his team miss 14 foul shots Wednesday. "We've had such a big turnover and lost so many kids that have played together all their lives.
"These kids have never played together - three of them have and the rest of them haven't. They're going to have to learn each other's strengths and weaknesses and grow.''
Gore finished with 25 points, five rebounds and three assists for Logan while Mitchell turned in 15 points, 17 rebounds, three steals and two blocks.
Greene guided the Black Eagles to four consecutive AAA state tournament appearances (2009-2012), including a pair of runner-up finishes. SC, which missed states last season, received nine votes in the AP preseason poll, missing out on a top-10 ranking by two points.
"We've had good practices and bad practices,'' said the SC coach. "They're all young and I think if they keep working hard and remain coachable they've got a big upside.''
Reach Tommy R. Atkinson at tatkin...@wvgazette.com or 304-348-4811.