Suppose that U238 has a half life of 4.5 billion years, decaying (through a series of
relatively short lived intermediate atoms) to Pb206. In a certain mineral sample there
are .31 times as many Pb206 atoms as there are of U238. If one assumes that the
mineral deposit contained no Pb206 when it was formed and that no lead or uranium
have been added to or escaped from the sample (except through the natural decay
process) how old is the sample?

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