Answer:
The half-life is about 320 days
Explanation:
The fraction f remaining after d days is ...
f = (1/2)^(d/h) . . . . where h is the half-life
The value of h can be found from ...
log(f) = (d/h)·log(1/2) . . . . . take the log of both sides
h = d·log(1/2)/log(f) . . . . . . multiply by h/log(f)
h = 36·log(1/2)/log(14.8/16) ≈ 320 . . . . . fill in given values and evaluate
The half-life is about 320 days.