Keeping server logs for a few days is considered necessary for running servers. Therefore you accessing a server means you implicitly give them the right to store your access request for a few days, because it is unreasonable to assume they would run a server without access logs.

Edit: For example, you can't assume people will work on weekends. So if an issue occurs on a weekend and someone needs to look at it, then the log need to at least last throughout the weekend.