SOLUTION: Carbon-14 has a half-life of 5,730 years. A fossil is found that has 26% of the carbon-14 found in a living sample. How old is the fossil? (Round your answer to the nearest year.)

Question 1157177: Carbon-14 has a half-life of 5,730 years. A fossil is found that has 26% of the carbon-14 found in a living sample. How old is the fossil? (Round your answer to the nearest year.)
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Carbon-14 has a half-life of 5,730 years.
A fossil is found that has 26% of the carbon-14 found in a living sample.
How old is the fossil? (Round your answer to the nearest year.)
:
The radioactive decay formula: A = Ao*2^(-t/h) where:
A = amt after t time
Ao = initial amt
t = time of decay
h = half-life of substance
:
let initial amt = 1, resulting amt = .26
1*2^(t/5730) = .26
use natural logs
ln(2^(-t/5730)) = ln(.26)
log equiv of exponents
ln(2) = ln(.26)
:
=
using your calc
= -1.94341
t = -5730 * -1.94341
t = 11,136 years

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