Posted by Laura Hieb on Wednesday, December 1, 2010 at 1:07am.
Let T be the age in years.
0.27 = (0.5)^(T/5700)
Take logs of both sides to solve.
T/5700 = log(0.27)/log(0.5) = 1.889
T = ___ years
65437990
well the bowel has 27% carbon-14 remaining which means that 73% of the carbon-14 has already been depleted. 5700 years is the half life of carbon-14 so to get the full life we multiply 5700(2)=11400 years. then we can do an easy cross multiplication problem to figure it out, x/11400=73/100 and then we solve for x which is x=11400(73)/100 and the final answer and age of the bowel is 8322 years. a very algebraic way of solving it lol
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