Honestly, I think both "science" and "religion" are wrong. I think the answer lays in between. There's no way for us to ever be sure or find enough proof to satisfy everyone. Carbon dating has been proven to have flaws, most notably by dating a 33 year old living man as being dead over a million years in a lab study. So how can anyone, religious or otherwise, actually know how old the earth is? Besides, in the grand scheme of things, it's kind of insignificant