Using Logs Cleaner
Logs Cleaner scans your hard drive for system and user log files that waste disk space. You can navigate to Logs Cleaner by expanding Fast Cleanup on the navigation bar and clicking Logs Cleaner, or by clicking View Result near Logs Cleaner in Fast Cleanup.
To scan your hard drive for useless log files, in Logs Cleaner click Scan. As a result a list of log files will appear, divided into system and user logs, with the size specified. All of them are selected by default, but you can deselect those you are not going to remove using the checkboxes or the Check/Uncheck buttons. You can also preview the file info using the Quick Look button and search for specific files using the Filter field. To delete the useless log files, click Remove.