There are actually a lot of blog posts and docs on this subject. Previous posters already explained some of the solutions, but I was just searching on this topic this morning so I thought I would share what I found:

It seems that the recently recommended setup is to create a container specifically to host volumes for both logs and other persistent data (ie database files). You then connect each container that needs to write to those volumes using the volumes-from directive. This is explained in blog posts and included in the documentation.

This stackoverflow has links to blogs and docs:

http://stackoverflow.com/a/20652410