How To Calculate For Half Life?

Use the formula: (N = N_0 left(tfrac{1}{2}right)^{t/T_{1/2}})

Rearrange to find half-life: (T_{1/2} = dfrac{t}{log_2(N_0/N)})

If the decay constant is known, use: (T_{1/2} = dfrac{ln 2}{lambda})

If the amount halves after a known time, that time is the half-life

If multiple half-lives have passed, use: remaining amount (= text{initial amount} div 2^n)

To find the number of half-lives passed, use: (n = log_2(N_0/N))

To find elapsed time, use: (t = n times T_{1/2})

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