Carbon-14 dating can be used on objects ranging from a few hundred years old to 50,000 years old.
Libby and others (University of Chicago) devised a method of estimating the age of organic material based on the decay rate of carbon-14.
This change in the amount of 14C relative to the amount of 12C makes it possible to estimate the time at which the organism lived.
A fossil found in an archaeological dig was found to contain 20% of the original amount of 14C. I do not get the $-0.693$ value, but perhaps my answer will help anyway.
Because during each half-life, carbon loses half of its weight. $$ So either the answer is that ridiculously big number (9.17e7) or 30,476 years, being calculated with the equation I provided and the first equation in your answer, respectively. Okay now that you know a little bit more information, you can try to find out how much carbon is in element. And we saw that they're good if we are trying to figure out how much of a compound we have left after one half-life, or two half-lives, or three half-lives.
We can just take 1/2 of the compound at every period.
So the natural log of this is minus 5,730k is equal to the natural log of 1/2. The natural log and natural log of both sides of that. So, you just say that 350 grams is how much I'm ending up with. And if you want to know where it came from, watch the previous video.