Carbon dating and logarithms
Archaeologists use the exponential, radioactive decay of carbon 14 to estimate the death dates of organic material.The stable form of carbon is carbon 12 and the radioactive isotope carbon 14 decays over time into nitrogen 14 and other particles.University of Michigan Runs his own tutoring company Carl taught upper-level math in several schools and currently runs his own tutoring company.He bets that no one can beat his love for intensive outdoor activities!After 5,730 years, the amount of carbon 14 left in the body is half of the original amount.If the amount of carbon 14 is halved every 5,730 years, it will not take very long to reach an amount that is too small to analyze.
We take a natural log because it's the base e, we could take the log, but then we'd be left with a log b, so we take the natural log, this is going to make our base to disappear.
So, the fossil is 8,680 years old, meaning the living organism died 8,680 years ago.
As soon as a living organism dies, it stops taking in new carbon.
We have 71%, so what I can do is just say .71 times our original amount.
If you have and I have 2/3 of the amount of money you have, you take 2/3 times 5.