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The half life of carbon 14 is 5730 years.

If the turtle has 6.25 the carbon 14 of a modern turtle, assuming that the ancient turtle had the same amount of C14 as the modern turtle when the ancient turtle died, the ancient turtle died at around 4 half lives of C14 ago. ln(.0625)/ln(.5)=4.

So the turtle died approximately 22920 years ago

Start with 100 percent of the C14. 100

Every time a half life passes, the amount of C14 is reduced by half. so 100*(1/2)^x

x is the number of half lives that have passed.

100*(1/2)^4 = 6.25

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Q: How old would the turtle be if it only had 6.25 percent of the carbon 14 that a living turtle had today?
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