Danamania was correct, my inverter board is now replaced and I am back to using my Powerbook for checking email and browsing Amiga.org. I can't thank all of you enough for your advice. The advice here was faster and better than two other Mac websites.
Thanks again, and for any of you that have similar problems, don't waste the money to send your powerbooks to a service shop unless you are completely unable to handle small tools. The replacement was a breeze and took only about 5 minutes from start to finish. :-D