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{N(t)}{N_0} = \left(\frac{1}{2}\right)^{t/T_{1/2}} \] Calculate the ratio: \[ \frac{25}{200} = \frac{1}{8} \] Take natural logarithms: \[ \ln \left(\frac{1}{8}\right) = \frac{24}{T_{1/2}} \times \ln \left(\frac{1}{2}\right) \] Simplify: \[ \ln \left(\frac{1}{8}\right) = 3 \times
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