# MATH 123

A wooden artifact from an ancient tomb contains 55% of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years. Round your answer to the nearest whole number.)

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1. 1((1/2)^(t/5730) = .55
(.5)^(t/5730 = .55
take log of both sides
log (.5)^(t/5730 = log .55
(t/5730) log .5 = log .55
t/5730 = log .55/log .5
t = 5730(log .55/log .5)
= appr 4942 years

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