Exponential and logarithmic functions in carbon 14 dating
However, I note that there is no beginning or ending amount given.How am I supposed to figure out what the decay constant is?I can do this by working from the definition of "halflife": in the given amount of time (in this case, hours.
The method of carbon dating makes use of the fact that all living organisms contain two isotopes of carbon, carbon12, denoted 12C (a stable isotope), and carbon14, denoted 14C (a radioactive isotope).The ratio of the amount of 14C to the amount of 12C is essentially constant (approximately 1/10,000).When an organism dies, the amount of 12C present remains unchanged, but the 14C decays at a rate proportional to the amount present with a halflife of approximately 5700 years.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.
Exponential and logarithmic functions in carbon 14 dating comments 

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