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March 25, 2017

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The burial cloth of an Egyptian mummy is estimated to contain 57% of the carbon-14 it contained originally. How long ago was the mummy buried? (The half-life of carbon-14 is 5730 years.)

  • Precalculus - ,

    solve

    .57 = 1(1/2)^(t/5730)
    log both sides

    log .57 = log (.5)^(t/5730)
    log .57 = t/5730 (log .5)
    t/5730 = log .57/log .5
    t/5730 = .810966
    t = 4646.8

    appr. 4647 years

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