The required age of the bone is approximately 8,200 years.
To estimate the age of a bone that now contains 70% of its original amount of carbon-14, you can use the formula:
age = (half-life / log(2)) x log(original amount / current amount)
In this case, the original amount of carbon-14 is 100% and the current amount is 70%, so the age of the bone can be calculated as:
age = (5730 years / log(2)) x log(100% / 70%)
age = (5730 years / 0.693) x 0.35667
age = 8268 years
Rounded to the nearest 100 years,
age = 8200 years
Therefore, the bone is estimated 8,200 years old.
To learn more about the half-life click here:
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