A wooden artifact recovered from a tomb contains 29% of the carbon-14 that is present in living trees. The half life of carbon-14 is 5730 years. How long ago was the artifact made?

Answer 1

(1/2)^(t/5730) = .29
(.5)^(t/573) = .29
take logs of both sides and follow rules of logs to get

(t/5730)log.5 = log.29
t/5730 = log.29/log.5
t = appr 10,233 years