I think the closest word is 逻辑 itself, coz this word has been widely accepted by now. We normally say 合乎逻辑(in article)or 合逻辑(orally used). if you don't want to use this one, just say 合理or 有道理, they are both ok in the situation of 合逻辑. But you can't turn over, that means: 合逻辑 is always 合理or 有道理, but 合理or 有道理 do not mean it is always correlative to 逻辑.
In my way of thinking, 逻辑=logic, 合逻辑=logical, 合理=reasonable(normally good things), 有道理= reasonable with some actual/obvious arguments. And also 有道理 can be used in oral, if you want to simply agree with someone's arguments, just say it to agree..