Human hair from a grave in Africa proved to have only 94% of the carbon 14 of living tissue. When was the body buried? The half life of carbon 14 is 5730 years.
The body was buried about _______ years ago
Hint: First find r , then find t.
94% = 100% x (1/2)^(n/5730), where n = Number of years
.94 = 1 x (1/2)^(n/5730) take the log of both sides
n/5730 =Log(0.94) / Log(1/2)
n/5730 =0.089267....... cross multiply
n =5730 x 0.089267
n =511.5 =~512 years ago.
Note: It is NOT necessary to find r and t, since the above formula works EXACTLY the same.