detect catalina.out log path from a running tomcat on non-Windows

Question

I'm dealing with the following non-Windows OS types:

Oracle Linux
RedHat Linux
Ubuntu
Solaris Sparc

Given, the fact that if Tomcat process is running, what is the best solution to find out the absolute path of catalina.out (Tomcat logging)

lsof could be one solution but I'm not sure if it will be available on all the mentioned OS types.

I also looked at <TOMCAT_HOME/conf/logging.properties but could not get the desired absolute path. Also, I would prefer to get the information from a running process than som file value that can get overwritten. Kindly suggest.