[ic] How can I log search requests?

[Mike Thompson]

I am interested in trying to capture and log search requests that are
entered in by my customers from both the small and advanced search forms.

It is valuable to me to know what people are looking for when they come to
my store.  Also even more valuable is to know what they are looking for but
didn't find.

Has anyone already set up something similar?  Any ideas about how to go
about this?  I didn't see anything in the archives.

Thanks,

-Mike Thompson