The solution would be like this for this specific problem:
T(t) = TA + (T₀ - TA) e^(-kt)
66 = 55 + (98.6 - 55)
e^(-0.1947t)
11 = 43.6e^(-0.1947t)
11/43.6 = e^(-0.1947t)
ln(11/43.6) = -0.1947t
t = -ln(11/43.6) / 0.1947
t ≈ -ln(0.252294) / 0.1947
t ≈ -(-1.3771619) / 0.1947
t ≈ 1.3771619 / 0.1947
t ≈ 7.07325
So, the approximate time of death is 7 hours, 4 min, 23 seconds.
