Can't get log files to write. /log on does nothing

[Kavious]

Is your install inside Program Files? If so the client has no permissions to write files there

When this happens, it uses the AppData folder. It should be something like:
C:\Users\Name\AppData\Local\VirtualStore\Program Files\Sony\EverQuest

By default the AppData folder is hidden. You can go to the View drop down and Show Hidden items or type the folder path directly in the top bar