An archaeologist in turkey discovers a spear head that contains 51% of its original amount of c-14. find the age of the spear head to the nearest year.

5566 years

Step-by-step explanation:

We know that the half-life of carbon-14 is 5730 years.

Let x be the original amount of C-14 , then the current amount of C-14 =

The radioactive half-life formula for C-14 is given by :-

, where P is the amount of C-14 at time t and   is the original amount.

Taking log on both the sides , we get

Hence, the age of the spear head is 5566 years.

linear pair postulates