How do I directly access my logfiles?

Just ftp to yoursite and look in the logs directory.
Current http error and access log files for your site are stored in the logs directory at the root level of your ftp login as:
logs/access.log
and
logs/error.log

Logs are rotated monthly and a compressed copy of the previous month's logs are kept in the folder for three months. The compressed log files are named according to the month that they were collected in. The name format is:
yymmdd.access.log.tgz
yymmdd.error.log.tga