posted 15 years ago
There isn't anything I could call a "log of current running process". Besides, Linux is a full-fledged multitasking OS, so there will be lots of "current running" processes during a given interval. Even more on a multi-core system where each CPU core can be running a process.
Log files for applications are defined by the applications themselves - providing the app in question even keeps a log. By convention, Linux expects that they'll be written in the /var/log directory.
If what you're really asking is how to watch what processes are running at the moment, you can get a static snapshot using the "ps" command, and a dynmaic display using the "top" command.
Education won't help those who are proudly and willfully ignorant. They'll literally rather die before changing.