Hi Hari,
The framework.logs.dirs refers to execution logs (not rundeck system logs).
On the default Docker image that path corresponds to /home/rundeck/var/logs/rundeck/YourProject and it's generated when you have a project with some executions (just tested on default Rundeck default docker image 5.8.0).
Are same logs will be generated under $RDECK_BASE/var/logs and $RDECK_BASE/server/logs?
Nope, $RDECK_BASE/var/logs is for job execution logs, $RDECK_BASE/server/logs is for rundeck server logs (rundeck.access.log, rundeck.log, etc).
Regards!