Hi,
My both CentOS 5 servers have logging problems. Logs such as messages, boot.log, kernel, spooler, and tallylog in /var/log directory are all 0 size. 
The kernel is:  Linux 2.6.18-92.1.22.el5 #1 SMP.
Since the /var/log/messages contained no information it would be impossible to troubleshoot the problem.
I am very sure both systems have not been hacked by others. 
Sincerely,
Frank Ling
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-rw-------  1 root         root          0 Feb  8 04:02 messages
-rw-------  1 root         root          0 Feb  3 11:04 messages.1
-rw-------  1 root         root          0 Jan 25 04:02 messages.3
-rw-------  1 root         root          0 Jan 11 04:03 messages.4
-rw-------  1 root         root         10 Dec 27 13:00 messages.offset
-rwx------  1 root         root          0 Feb 11 19:12 kernel
-rwx------  1 root         root          0 Feb 11 16:53 kernel.1
-rwx------  1 root         root          0 Jan 25 04:02 kernel.3
-rwx------  1 root         root          0 Jan 11 04:03 kernel.4
-rw-------  1 root         root          0 Feb  8 04:02 spooler
-rw-------  1 root         root          0 Feb  3 07:51 spooler.1
-rw-------  1 root         root          0 Jan 25 04:02 spooler.3
-rw-------  1 root         root          0 Jan 11 04:03 spooler.4
-rw-------  1 root         root          0 Jun 24  2008 tallylog
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