I don't know about the log file, but until you upgrade your JRE/JDK as I said
here, I doubt very much if you'll get Eclipse running.
That said, I've never been able to work out where Eclipse puts that sort of thing. I also find that the documentation can be out of date (eg, the readme file in Eclipse 3 M9 hasn't been updated since 2.1), so it's conceivable the error message is lying to you.
Cheers,
--Tim