To think in Danish 3 - tro or mene
Tro expresses a theory that in principle can be verified or falsified through a test:
Jeg tror, det er en god bog. (I've got reasons to believe that it's a good book - but I haven't read it) Tro says: We'll see!
Mene is an opinion based upon conviction. Verifying is not within reach.
Jeg mener det vil være godt for økonomien at sætte skatten ned. (I really do believe lowering of taxes would be good for the economy). Mene says: Believe me, I'm serious! Or: I'm almost sure!
Choose: tro or mene in the drop-down-list