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## Homework Statement

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.

## Homework Equations

A = A0e^(-kt),

## The Attempt at a Solution

I didnt really know what I should do with this, but heres what I did:

A=A0e^(-kt)

where A=1/3A0 ?

1/3A0=A0e^(-kt)

1/3=e^(-kt)

ln 1 - ln 3 = -kt

t = (-ln 1 + ln 3)/k