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# Applications of Logarithms - Carbon Dating

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Archaeologists and anthropologists use radioactive decay estimate how long ago an organism died. This method is called radiocarbon dating. Radioactive decay is usually modeled by exponential functions.

Carbon dating is based upon the decay of $^{14}C$, and we know that the half-life of $^{14}C$ is about 5,700 years. That means that the original amount of $^{14}C$ in an organism reduces to half its original value after 5,700 years.

Select the model that best describes the decay of $^{14}C$.

A

$N = N_0e^{-0.00024t}$

B

$N = N_0e^{-0.00012t}$

C

$N = N_0e^{0.00012t}$

D

$N = N_0e^{0.00024t}$