dmseg and init logs are located in /var/sysvinit/ which span multiple reboots. For each uptime duration, there are normally 4 files that are created here, for example:
-rw-r--r-- 1 root root 65846 Nov 15 18:35 dmesg_log_20221114_182340
-rw-r--r-- 1 root root 1193 Nov 14 18:23 sysv_log_20221114_182340_S
-rw-r--r-- 1 root root 9945 Nov 15 18:35 sysv_log_20221114_182344_5
-rw-r--r-- 1 root root 8330 Nov 15 18:35 sysv_log_20221115_183513_6
- dmesg_log_* files contain the same data that would be printed by the dmeg command
- sysv_log_* files are related to the respective scripts started or stopped for each runlevel
- _S and _6 files are created at startup
- _6 is created during a proper shutdown or reboot
- Each log is named based on the date and time the log was started