The Reload Web Console has tabs to display the most recent entries of the Event, Agent and, if installed, the Blueprint logs. There are also links to the day's full logs as well as the Daemon, Error and Audit logs
For support purposes, Reload will create a single zip file of all the logs which can be downloaded from the Reload Web Administration page:
Browse to Reload Web Administration
Select "Tools | Download Logs | GO | "Download The RELOAD SUPPORT.ZIP File"