# Carbon dating and logarithms

Animals and people that eat these plants take the carbon-14 into their bodies as well.Carbon-14 in the bodies of animals and plants is constantly decaying.Then, First, carbon-14 cannot be used to date biological artifacts of organisms that did not get thier carbon dioxide from the air.This rules out carbon dating for most aquatic organisms, because they often obtain at least some of their carbon from dissolved carbonate rock.Im not really sure how to go about solving this problem, any help would be apprecaited.The exponential decay formula is given by: $$m(t) = m_0 e^$$ where $\displaystyle r = \frac$, $h$ = half-life of Carbon-14 = 30$years,$m_0\$ is of the initial mass of the radioactive substance.When scientists first began to compare carbon dating data to data from tree rings, they found carbon dating provided "too-young" estimates of artifact age.Scientists now realize that production of carbon-14 has not been constant over the last 10,000 years, but has changed as the radiation from the sun has changed.

what range of C^14 to C^12 ratio would the scientist expect to find in the animal remains?Therefore, the amount of carbon-14 in an artifact decreases at a predictable rate while the amount of carbon-12 remains constant.By comparing the ratio of carbon-14 to carbon-12 in an artifact to the ratio of carbon-14 to carbon-12 in living organisms scientists can determine the age of an artifact.Carbon dating cannot be used on most fossils, not only because they are almost always too old, but also because they rarely contain the original carbon of the organism.Also, many fossils are contaminated with carbon from the environment during collection or preservation proceedures.

Radiation from the sun collides with atoms in the atmosphere.

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