SOLUTION: An artifact was found and tested for its carbon-14 content. If 71% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? Use that carbon

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Question 473841: An artifact was found and tested for its carbon-14 content. If 71% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? Use that carbon-14 has a half-life of 5,730 years.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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An artifact was found and tested for its carbon-14 content.
If 71% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)?
Use that carbon-14 has a half-life of 5,730 years.
:
Assuming the initial amt is 1 we can write the equation:
2^(-t/5730) = .71
%28-t%29%2F5730 = ln%28.71%29%2Fln%282%29
:
%28-t%29%2F5730 = -.4941
t = -.4941*-5730
t ~ 2800 yrs