the email log can only really tell you that the email was sent to the smtp server successfully.
If the email is being sent to the SMTP server, there are really only two possibilities:
1) The email is being trapped in a spam filter
2) The SMTP server is refusing to relay the message.
If you do not see the email in your spam filter, you will need to check with the host to have them look into the SMTO server error logs to determine why the server is not relaying the message.