Prove that the half life is given by H = ( t 2 − t 1 ) ln 2 ln ( y ( t 1 ) ) − ln ( y ( t 2 ) ) if y ( t ) represents the percent of radioactive element that is present at time t .

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Chapter 3.1, Problem 11E

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Prove that the half life is given by H=(t2−t1)ln2ln(y(t1))−ln(y(t2)) if y(t) represents the percent of radioactive element that is present at time t.

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