But the problem is, there is so many ways to find out how the Earth is...None of them date the Earth to 6,000 years old.
Now I like the idea of 'information theory' but no one upholds to it, only creationists. If it was against information the majority of sciencetists would believe it.
They don't have to. God said:
2 Peter 3:5 For this they willingly are ignorant of, that by the word of God the heavens were of old, and the earth standing out of the water and in the water:
God admits that during creation He did not use time to age the matter in which He used to create the earth.
Also, if all matter came from one source as the big bang suggests, then all matter should date back to that source and be of the same age. But it does not. Neither is it related in it's composition.