I believe the equation you gave is wrong because the
standard form of equation for C-14 decay is in the form of:
A = Ao e^-kt
So I think the right form of equation is (correct me if I’m
wrong):
P(t) = Po e^(-0.00012097t)
Where,
Po
= initial value of C-14 at t = 0
t
= time elapsed
Since
it is given that:
P
= (1 – 0.34) Po
P
= 0.66 Po
Therefore,
t is:
0.66
Po = Po e^(-0.00012097 t)
0.66
= e^(-0.00012097 t)
taking
ln of both side:
ln
0. 66 = -0.00012097 t
t
= - ln 0. 66 / 0.00012097
t
= 3,434.86 years
Therefore
the ivory tusk is about 3,435 years old.
