Accurate carbon dating
(Nowadays you can count the C14 atoms directly.)None of this is of the slightest solace to young-earth creationists, or at least wouldn't be if they weren't uniformly ignorant and/or outright dishonest.All the gotchas are well-known, and routinely allowed for.Anything that was once alive or that was produced by a living thing can be dated by using the radiocarbon method of dating.This method, which received widespread attention in connection with the Dead Sea Scrolls, relies on the fact that all living things take in carbon, some of which is very slightly radioactive. To hear some people tell it, scientists have nearly absolute confidence in the dating methods they use.It's not that there are 11000 year old trees, but there have been young trees growing happily next to old trees for that long getting the same weather-related patterns in their rings, by which we can piece together a time line.
The number $c$ in the exponential measures the exponential rate of decay of Carbon $.
In some cases you can make corrections, and in some cases you need to assign a large error range or give up entirely.
We don't just suspect that the rate of production of C14 varies, we know that it varies and by about how much because we can compare the C14 calendar with other calendars.
After another 5,730 years only half of those 50 (or 25 carbon-14 atoms would remain.) Think of the red ink molecules slowly disappearing at the same rate.
One day, about 5,000 years ago, most of the water suddenly drained from the pool.
Search for accurate carbon dating:
When their dating methods say that something lived 30,000 years ago, they sound certain.