Ahiker in africa discovers a skull that contains 51% of its original amount of c-14. find the of the scull to the nearest year

We can calculate the age by using the formula: final amount=initial amount*(1/2)^(time/half-life), or t=ln(final amount/initial amount)/(-0.693)*half-life. The half life of C-14 is 5730 years, and final amount=initial amount is 51% or 0.51, so t=ln(0.51)/(-0.693)*5730=5567 years approximately.