[Zope] logging for virtual hosts

We are using SiteAccess to have multiple virtual hosts on one Zope Server. We would like to provide our customers with stats reports based on the zope log. But entries in the log don't contain any distinguishing information about the virtual host to which the entry applies. Short of hacking zope, is there a way to modify our zope environment to to have the requested hostname included in the log entry? We know that we can use PCGI thru apache and have apache do the logging. But I'm hoping to avoid that.