When was carbon dating accepted by the scientific community
The oldest rocks which have been found so far (on the Earth) date to about 3.8 to 3.9 billion years ago (by several radiometric dating methods).
This is NOT about Religion, but about Truth, for the fact is that we exist; this is True because the world exists and we exist simply because every day when we wake up, we are still the same person only a day older.
Therefore, to seek the truth of how we got here is to search for our Maker: either God or nature.
This value is derived from several different lines of evidence.
Unfortunately, the age cannot be computed directly from material that is solely from the Earth.
And in this regard, 'scientists' are supposed to aid us and NOT dictate what (they believe) the truth may be BEFORE they know it to be true, and can demonstrate it to be a Fact.