What’s the half-life time?

Question

The amount (n) of a certain type of radioactive material decays at time r (in years) follows the equation n(t) = n0e^-0.03t, where n0, is the initial amount. What is the half-life time of this material?

Answer 1

n(t) = n₀e^-0.03t

Set

n(t) = n₀/2

and solve for t.

n₀/2 = n₀e^-0.03t

0.5 = e^-0.03t

ln0.5 = -0.03t

t = ln0.5 / (-0.03) ≅ 23.1