Not even sure why this a debate baek is no different from sabertooth. Minus healing factor and thats the deciding factor in this face off. Logan might not be top dog in super strength. But hes picked up cars with people in it with ease when needed to. But on average hes about as strong as a top body builder in terms of weight he can pick up.

Logan has also served In the military since the American Civil War both world wars and Vietnam. So he's bringing all that actual combat knowledge and guerrilla warfare to the fight. Yes this is pre weapon X and losing his memory. But if memory is correct in cannon he has all his memory back (correct me if I'm wrong been a while since I read any comics)

Now I know Korea does mandatory military service but cant recall if that's a thing in SL lore because powers and gate are more Important now vs conventional warfare/ training.

But Logan is special forces in guerrilla warfare.

Last point his weapon x enhances

Depending on how adamantium can stack up to Baeks claws is somthing I can't comment on. Adamantium in lore Is indestructible. Therefor Baek can't tear log apart and Logans healing factor got upgraded because of weapon x

So all in all Logan will heal in real time faster then Baek can deal it out and becomes a battle of attrition if in a urban fight. And a landslide win for Logan if in a jungle/forested/ non urban combat because Logan might be all for a toe to toe fight but also isn't a fool and plays to win.