Here's what that command produced. We're hosted on slicehost, and we've used 52.98 GB of 300 GB. I don't have the correct credentials for root access, it seems, so some of these mysql and apache logs are being denied.
urcollegian@thecolm1:~$ du -a -h /var/log
4.0K /var/log/mail.warn.4.gz
292K /var/log/auth.log.4.gz
16K /var/log/lastlog
4.0K /var/log/btmp.1.gz
0 /var/log/mysql.log
4.0K /var/log/mysql.log.2.gz
56K /var/log/debug.2.gz
364K /var/log/mail.info.3.gz
344K /var/log/mail.info.4.gz
20K /var/log/udev
0 /var/log/apt/term.log
4.0K /var/log/apt/term.log.1.gz
4.0K /var/log/apt/term.log.2.gz
4.0K /var/log/apt/term.log.3.gz
12K /var/log/apt/term.log.4.gz
28K /var/log/apt
128K /var/log/mail.log
4.0K /var/log/dmesg.2.gz
0 /var/log/dpkg.log
4.0K /var/log/mysql.log.4.gz
876K /var/log/kern.log.1
256K /var/log/syslog.1
4.0K /var/log/mysql.log.7.gz
12K /var/log/dmesg.0
16K /var/log/dpkg.log.3.gz
4.0K /var/log/mail.warn.2.gz
4.0K /var/log/mysql.log.3.gz
8.0K /var/log/faillog
588K /var/log/mail.log.2.gz
4.0K /var/log/ntpstats
4.0K /var/log/mysql.log.1.gz
4.0K /var/log/aptitude.1.gz
0 /var/log/mail.err
4.0K /var/log/dpkg.log.2.gz
0 /var/log/boot
40K /var/log/debug.4.gz
0 /var/log/news/news.notice
0 /var/log/news/news.err
0 /var/log/news/news.crit
4.0K /var/log/news
224K /var/log/kern.log
2.4M /var/log/mail.info.1
4.0K /var/log/messages.1
5.1M /var/log/auth.log.1
8.0K /var/log/dmesg.1.gz
4.0K /var/log/messages.3.gz
56K /var/log/kern.log.2.gz
4.0K /var/log/dpkg.log.1
56K /var/log/debug.3.gz
64K /var/log/syslog.7.gz
872K /var/log/debug.1
12K /var/log/dmesg
0 /var/log/lpr.log
4.0K /var/log/vsftpd.log.1.gz
364K /var/log/mail.log.3.gz
0 /var/log/pycentral.log
8.0K /var/log/nginx/error.log.27.gz
8.0K /var/log/nginx/error.log.28.gz
8.0K /var/log/nginx/error.log.51.gz
12K /var/log/nginx/error.log.8.gz
4.0K /var/log/nginx/access.log.44.gz
8.0K /var/log/nginx/error.log.20.gz
12K /var/log/nginx/error.log.7.gz
4.0K /var/log/nginx/access.log.34.gz
4.0K /var/log/nginx/access.log.13.gz
4.0K /var/log/nginx/access.log.33.gz
4.0K /var/log/nginx/access.log.21.gz
4.0K /var/log/nginx/access.log.1
4.0K /var/log/nginx/access.log.28.gz
16K /var/log/nginx/error.log.15.gz
8.0K /var/log/nginx/access.log.24.gz
4.0K /var/log/nginx/access.log.37.gz
16K /var/log/nginx/error.log.44.gz
0 /var/log/nginx/error.log
16K /var/log/nginx/error.log.26.gz
4.0K /var/log/nginx/access.log.27.gz
8.0K /var/log/nginx/error.log.46.gz
4.0K /var/log/nginx/access.log.23.gz
4.0K /var/log/nginx/access.log.49.gz
4.0K /var/log/nginx/access.log.2.gz
56K /var/log/nginx/error.log.19.gz
4.0K /var/log/nginx/access.log.11.gz
4.0K /var/log/nginx/access.log.18.gz
4.0K /var/log/nginx/access.log.50.gz
4.0K /var/log/nginx/access.log.6.gz
396K /var/log/nginx/error.log.1
4.0K /var/log/nginx/access.log.17.gz
16K /var/log/nginx/error.log.35.gz
4.0K /var/log/nginx/access.log.20.gz
8.0K /var/log/nginx/error.log.52.gz
16K /var/log/nginx/error.log.40.gz
4.0K /var/log/nginx/access.log.45.gz
4.0K /var/log/nginx/access.log.39.gz
4.0K /var/log/nginx/access.log.48.gz
8.0K /var/log/nginx/error.log.23.gz
4.0K /var/log/nginx/access.log.35.gz
8.0K /var/log/nginx/error.log.48.gz
4.0K /var/log/nginx/access.log.22.gz
8.0K /var/log/nginx/error.log.32.gz
4.0K /var/log/nginx/access.log.26.gz
8.0K /var/log/nginx/error.log.42.gz
8.0K /var/log/nginx/error.log.11.gz
12K /var/log/nginx/error.log.50.gz
16K /var/log/nginx/error.log.9.gz
4.0K /var/log/nginx/access.log.53.gz
8.0K /var/log/nginx/error.log.47.gz
4.0K /var/log/nginx/access.log.31.gz
4.0K /var/log/nginx/access.log.16.gz
12K /var/log/nginx/error.log.43.gz
4.0K /var/log/nginx/access.log.43.gz
20K /var/log/nginx/error.log.25.gz
4.0K /var/log/nginx/access.log.3.gz
4.0K /var/log/nginx/access.log.46.gz
8.0K /var/log/nginx/error.log.12.gz
4.0K /var/log/nginx/access.log.25.gz
8.0K /var/log/nginx/error.log.36.gz
12K /var/log/nginx/error.log.31.gz
4.0K /var/log/nginx/access.log.47.gz
12K /var/log/nginx/error.log.21.gz
12K /var/log/nginx/error.log.49.gz
12K /var/log/nginx/error.log.10.gz
56K /var/log/nginx/error.log.18.gz
4.0K /var/log/nginx/access.log.32.gz
4.0K /var/log/nginx/access.log.40.gz
4.0K /var/log/nginx/access.log.30.gz
4.0K /var/log/nginx/access.log.41.gz
12K /var/log/nginx/error.log.34.gz
4.0K /var/log/nginx/access.log.29.gz
40K /var/log/nginx/error.log.14.gz
8.0K /var/log/nginx/error.log.45.gz
4.0K /var/log/nginx/access.log.42.gz
36K /var/log/nginx/error.log.24.gz
4.0K /var/log/nginx/access.log.9.gz
12K /var/log/nginx/error.log.30.gz
8.0K /var/log/nginx/error.log.6.gz
12K /var/log/nginx/error.log.33.gz
4.0K /var/log/nginx/access.log.38.gz
8.0K /var/log/nginx/error.log.3.gz
12K /var/log/nginx/error.log.17.gz
4.0K /var/log/nginx/access.log.19.gz
4.0K /var/log/nginx/access.log.52.gz
12K /var/log/nginx/error.log.37.gz
4.0K /var/log/nginx/access.log.4.gz
12K /var/log/nginx/error.log.39.gz
4.0K /var/log/nginx/access.log.8.gz
4.0K /var/log/nginx/access.log.51.gz
8.0K /var/log/nginx/error.log.2.gz
12K /var/log/nginx/error.log.16.gz
4.0K /var/log/nginx/access.log.7.gz
4.0K /var/log/nginx/access.log.10.gz
8.0K /var/log/nginx/error.log.53.gz
8.0K /var/log/nginx/error.log.13.gz
12K /var/log/nginx/error.log.5.gz
4.0K /var/log/nginx/access.log.36.gz
4.0K /var/log/nginx/access.log.14.gz
4.0K /var/log/nginx/access.log.5.gz
12K /var/log/nginx/error.log.29.gz
8.0K /var/log/nginx/error.log.41.gz
4.0K /var/log/nginx/access.log.12.gz
0 /var/log/nginx/access.log
12K /var/log/nginx/error.log.4.gz
12K /var/log/nginx/error.log.22.gz
12K /var/log/nginx/error.log.38.gz
8.0K /var/log/nginx/access.log.15.gz
1.4M /var/log/nginx
4.0K /var/log/daemon.log.3.gz
4.0K /var/log/dmesg.3.gz
184K /var/log/debug
40K /var/log/kern.log.4.gz
2.4M /var/log/mail.log.1
0 /var/log/memcached.log
4.0K /var/log/vsftpd.log.4.gz
du: cannot read directory `/var/log/mysql': Permission denied
4.0K /var/log/mysql
4.0K /var/log/mail.warn.1
32K /var/log/syslog
24K /var/log/wtmp
260K /var/log/auth.log.2.gz
276K /var/log/auth.log.3.gz
4.0K /var/log/aptitude.2.gz
0 /var/log/btmp
0 /var/log/mysql.err
36K /var/log/syslog.6.gz
4.0K /var/log/dmesg.4.gz
4.0K /var/log/daemon.log.4.gz
16K /var/log/daemon.log.1
4.0K /var/log/mysql.log.5.gz
4.0K /var/log/daemon.log.2.gz
4.0K /var/log/messages.2.gz
24K /var/log/syslog.3.gz
720K /var/log/auth.log
du: cannot read directory `/var/log/apache2': Permission denied
4.0K /var/log/apache2
36K /var/log/vsftpd.log.3.gz
24K /var/log/syslog.2.gz
0 /var/log/mail.warn
72K /var/log/vsftpd.log.2.gz
4.0K /var/log/aptitude.3.gz
344K /var/log/mail.log.4.gz
36K /var/log/syslog.5.gz
0 /var/log/user.log
588K /var/log/mail.info.2.gz
4.0K /var/log/fsck/checkroot
4.0K /var/log/fsck/checkfs
12K /var/log/fsck
4.0K /var/log/mysql.log.6.gz
28K /var/log/syslog.4.gz
4.0K /var/log/fontconfig.log
128K /var/log/
mail.info
24K /var/log/daemon.log
40K /var/log/messages
0 /var/log/aptitude
du: cannot read directory `/var/log/munin': Permission denied
4.0K /var/log/munin
4.0K /var/log/mail.warn.3.gz
56K /var/log/kern.log.3.gz
4.0K /var/log/wtmp.1.gz
4.0K /var/log/messages.4.gz
4.0K /var/log/vsftpd.log
19M /var/log