How to auto mount NFS shares on Mavericks?
Using autofs, as suggested by others is probably the way to go. Most of what follows works in El Capitan, which made auto mounting more difficult, but it should apply to Mavericks too. I do not have a Mavericks system to test.

In order to make this work edit /etc/auto_master and add the following line:

/-          auto_nfs    -nobrowse,nosuid

Then create a new file /etc/auto_nfs (with permissions 644) with the following content:

/../Volumes/logs -fstype=nfs,nrw,bg,hard,resvport,intr,noac,nfc,tcp mymachine:/var/logs

You have to add the /.. in front of the /Volumes, because Mac OS X (at least El Capitan will try to prevent you from mounting thing in /Volumes and /../Volumes is still /Volumes, it just tricks the filter. This might not be necessary for Mavericks)

Then start the auto mount daemon

sudo automount -cv

and you should see that the volume has been mounted (ls /Volumes/logs)