Note that the purpose of this task is algebraic in nature -- closely related tasks exist which approach similar problems from numerical or graphical stances.The standards do not prescribe that students use or know with log identities, which form the basis for the "take the logarithm of both sides" approach.\$\$ Time in this equation is measured in years from the moment when the plant dies (\$t = 0\$) and the amount of Carbon 14 remaining in the preserved plant is measured in micrograms (a microgram is one millionth of a gram). One can estimate this time by dividing 100 p MC by 2 repeatedly until the resulting number drops below 0.001 p MC.

Carbon dating has given archeologists a more accurate method by which they can determine the age of ancient artifacts.

Carbon 14 is a common form of carbon which decays over time.

The amount of Carbon 14 contained in a preserved plant is modeled by the equation \$\$ f(t) = 10e^.

By looking at the ratio of carbon-12 to carbon-14 in the sample and comparing it to the ratio in a living organism, it is possible to determine the age of a formerly living thing fairly precisely. So, if you had a fossil that had 10 percent carbon-14 compared to a living sample, then that fossil would be: t = [ ln (0.10) / (-0.693) ] x 5,700 years t = [ (-2.303) / (-0.693) ] x 5,700 years t = [ 3.323 ] x 5,700 years Because the half-life of carbon-14 is 5,700 years, it is only reliable for dating objects up to about 60,000 years old.

However, the principle of carbon-14 dating applies to other isotopes as well.A straightforward reading of the Bible describes a 6,000-year-old universe, and because some carbon-14 (C) age estimates are multiple tens of thousands of years, many think that the radiocarbon method has soundly refuted the Bible’s historical accuracy.However, these excessively long ages are easily explained within the biblical worldview, and C should be present in specimens that are even a little more than 100,000 years old!If I end up with a positive value, I'll know that I should go back and check my work.) In Its radiation is extremely low-energy, so the chance of mutation is very low.(Whatever you're being treated for is the greater danger.) The half-life is just long enough for the doctors to have time to take their pictures.But the calculated dates will only be accurate if the assumptions behind the method are correct.

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