Calculus

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In the year 2005, a picture supposedly painted by a famous artist some time after 1815 but before 1865 contains 96.5 percent of its carbon-14 (half-life 5730 years).

From this information, could this picture have been painted by this artist?

Approximately how old is the painting?

  • Calculus -

    .965= (1/2)^(t/5730)
    take the ln of each side

    ln(.965)=t/5730 * ln (1/2)
    solve for t.

    I get about 300 years ago it was painted.

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