I had to jump start yesterday morning and drove 115 miles, so battery was already charged when I got to my destination in Redwood city. Once I was done I drove to the nearest Lexus dealership there. The guy there just did me a favor and checked the battery. The car WAS NOT running at the time, he checked and said it was fine. But again, I don't know what he does there and how competent he is, he was nice enough to check it for me. To get diagnostics, I would have to shell out $200. But thanks for your input..it gives me a hope that it might not be an alternator and it's just a battery issue. The reading the guy got on his gadget was 12.39. I will drive to Autozone tomorrow and have it checked there.