elgg system logs overloading database

I know most here are good coders,but I'm not and need some advise to deal with the system logs.Can I just delete them from myphpadmin.How can I limit the processes it is making on the server.My webhost says that some of the processes are running longer than 3000 seconds to optimize the database,and that's what causing to many connections.I have my log rotate set at once a week,just like the garbage collector.