With all the different and cool programs that are now available via the package manager I have found myself searching log files in a lot of places.
For example PlexRequest has the logs under /home/$MASTER/logs
couchpotato /home/$MASTER/.couchpotato/logs
some like apache are under /var/log/apache/ etc.
My Suggestion would be a module that you can enable which adds a link to the menu titled “Logs” where you have relevant logfiles on a per program basis. Either as tabs or something similar.
I am not sure if its easier to set up with just a webpage that lists the content of log files or if there is a program already that does that.