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$$ Dividing by 10 and taking the natural logarithm on both sides, as above, gives $$ -\fract = \ln = \ln $$ or $$ t = -5730\frac. If half of the uranium-238 has turned into lead-206 the rock will be 4500 million years old.
$$ To solve for $c$, notice that $c$ is in the exponent and so we need to take a logarithm to isolate $c$.
$$ To solve for $c$, notice that $c$ is in the exponent, so one approach is to isolate the exponential expression and use the definition of the natural logarithm.
000121$ is used in place of $\frac$ then an approximate value of 19,030 years is found instead.
When an organism, eg a tree, dies it stops taking in carbon dioxide.
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Plants absorb carbon dioxide from the atmosphere and animals eat plants.
This means all living things have radioactive carbon-14 in them.