Equation proof carbon 14 dating
Scientists use a technique called radiometric dating to estimate the ages of rocks, fossils, and the earth.Many people have been led to believe that radiometric dating methods have proved the earth to be billions of years old.
Atoms are made up of much smaller particles called protons, neutrons, and electrons.
A fossil found in an archaeological dig was found to contain 20% of the original amount of 14C. I do not get the $-0.693$ value, but perhaps my answer will help anyway.
If we assume Carbon-14 decays continuously, then $$ C(t) = C_0e^, $$ where $C_0$ is the initial size of the sample. Since it takes 5,700 years for a sample to decay to half its size, we know $$ \frac C_0 = C_0e^, $$ which means $$ \frac = e^, $$ so the value of $C_0$ is irrelevant.
This has caused many in the church to reevaluate the biblical creation account, specifically the meaning of the word “day” in Genesis 1.
With our focus on one particular form of radiometric dating—carbon dating—we will see that carbon dating strongly supports a young earth.
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Note that, contrary to a popular misconception, carbon dating is not used to date rocks at millions of years old.