How to clean log files:
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For all current log files, choose System Clean > Clean All Logs.
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For archived log files, choose System Clean > Clean Archived Logs.
Mac OS X keeps a set of log files to which the operating systems and the applications it runs write information such status reports, warnings and errors. To prevent the files from growing too large, Mac OS X regularly archives old log files. Nonetheless, the log files and the archived log files can get quite large, and you can sometimes free up disk space by deleting them.
For all current log files, choose System Clean > Clean All Logs.
For archived log files, choose System Clean > Clean Archived Logs.