Prevent Apache from logging 404 Errors, logging all other errors

Question

I would like to disable 404 errors from appearing in my Apache error logs. The reason for this is that I have a custom page that handles 404 errors, performing any necessary redirects. If no valid redirect is found in this 404 page, then a nice page appears and the url and other information are logged by the script. Because of this, I do not need 404 errors in my Apache error log. Is there any way to just disable 404s short of doing a custom pipe?