You'll likely find more than enough to get something good going in the free tier: the only thing you'll likely miss is the fact that you can't make a logo with a transparent background in the free tier.
When we tested, we found there are plenty of free elements to play with if you need more choice you can pay to use a larger selection of premium elements. Once you've picked a few that appeal to you, it'll generate a design that you can then customise with Canva's own tools.
It's nice and easy to use it'll ask you a few questions about your company before presenting you with some templates.
Canva provides a comprehensive online design suite that does much more than logos, but that said, if you need one of the best free logo makers around then its Logo Maker is one of our top choices.