Our production application is at 80% disk usage, and we do not store much data for the app – just configuration data.
However, we have log files from the last year and a half, about 280 of them.
How can we delete our old, unneeded log files?
If I recall correctly these logs do not count for your diskspace. What might help is do a restore on itself (so backup and then restore of the just created backup). You will probably see your database size then reduced because all the tables are recreated again and all the empty space removed. Does mean a couple of minutes downtime though.