The rotation of /var/log/cassandra/system.log seems quite aggressive, and amounts to a retention of about 2 days (~53MB compressed):
$ ls -lh total 53M -rw-r--r-- 1 cassandra cassandra 857K Mar 23 09:26 repair.log -rw-r--r-- 1 cassandra cassandra 636K Jun 1 09:52 system.log -rw-r--r-- 1 cassandra cassandra 2.2M May 31 13:36 system.log.10.zip -rw-r--r-- 1 cassandra cassandra 2.7M May 31 09:41 system.log.11.zip -rw-r--r-- 1 cassandra cassandra 2.6M May 31 09:02 system.log.12.zip -rw-r--r-- 1 cassandra cassandra 2.4M May 31 07:57 system.log.13.zip -rw-r--r-- 1 cassandra cassandra 2.7M May 31 05:33 system.log.14.zip -rw-r--r-- 1 cassandra cassandra 2.4M May 31 04:19 system.log.15.zip -rw-r--r-- 1 cassandra cassandra 2.6M May 31 01:33 system.log.16.zip -rw-r--r-- 1 cassandra cassandra 2.6M May 30 23:56 system.log.17.zip -rw-r--r-- 1 cassandra cassandra 2.4M May 30 22:11 system.log.18.zip -rw-r--r-- 1 cassandra cassandra 2.4M May 30 18:23 system.log.19.zip -rw-r--r-- 1 cassandra cassandra 2.7M Jun 1 09:48 system.log.1.zip -rw-r--r-- 1 cassandra cassandra 2.4M May 30 14:30 system.log.20.zip -rw-r--r-- 1 cassandra cassandra 2.9M Jun 1 06:58 system.log.2.zip -rw-r--r-- 1 cassandra cassandra 3.0M Jun 1 06:17 system.log.3.zip -rw-r--r-- 1 cassandra cassandra 3.0M Jun 1 04:05 system.log.4.zip -rw-r--r-- 1 cassandra cassandra 2.7M Jun 1 01:50 system.log.5.zip -rw-r--r-- 1 cassandra cassandra 2.8M May 31 22:55 system.log.6.zip -rw-r--r-- 1 cassandra cassandra 2.8M May 31 22:38 system.log.7.zip -rw-r--r-- 1 cassandra cassandra 2.2M May 31 17:52 system.log.8.zip -rw-r--r-- 1 cassandra cassandra 2.3M May 31 16:22 system.log.9.zip
I suggest we retain at least a weeks worth of logs.