Hi, my name is ***** ***** I am happy to assist!
I gather these are print logs in the Windows operating system?
If that is the case, then there is no simple explanation on how to delete the logs, as it requires some working knowledge of Powershell (which is built into Windows).
What I can recommend is this link:
It is a detailed description of logs and how to remove them using power shell. Give this a read through and you should have a method to delete your print logs.
Any luck with clearing the logs?