The half-life of radioactive carbon 14 is 5700 years. After a plant or animal dies, the level of carbon 14 decreases as the
adioactive carbon disintegrates. The decay of radioactive material is given by the relationship A = A0e^(-kt), where A0 is the initial amount of material at time 0 and t represents the time measured from time 0 in years. For carbon 14, k = 1.216 × 10-4 years^-1. Samples from an Egyptian mummy show that the carbon 14 level is one-third that found in the atmosphere. Determine the approximate age of the mummy.
A = A0e^(-kt),
The Attempt at a Solution
I didnt really know what I should do with this, but heres what I did:
where A=1/3A0 ?
ln 1 - ln 3 = -kt
t = (-ln 1 + ln 3)/k