So what they can do is compare the amount that should be in whatever they're looking at into the amount that's left and using a formula which is the exponential decay formula, they can figure out how old something is.
So for this example what we're going to be looking at is a stick in King Tuts tomb.
It doesn't really matter that we don't know the exact amount, we're still trying to solve the same exact way.
So it's just a little bit of an introduction into carbon-14 dating.Basically it's exponential decay when you know the amount of a substance remaining, you can figure out how long it has been decaying.They found a stick that had 71% of it's original carbon-14, so they know how much carbons should be in this stick say it's oak or whatever it maybe and there's lots of Math, so they know that some has decayed over time.Using carbon-14 dating, so basically exponential decay, and this particular rate, we're supposed to figure out how old the tomb is. So we know our decay formula to be N is equal to N zero, e to the rt and they told us that our rate is a very small negative number and we have 71% of the original amount and we're supposed to find the time, we're supposed to find t.So now we're solving for a variable and the exponent, whenever we see that, we need to just take the natural log.
We take a natural log because it's the base e, we could take the log, but then we'd be left with a log b, so we take the natural log, this is going to make our base to disappear.
So, the scientist would find C14-to-C12 ratios ranging from: .34 \times 10^$ - to - [insert 000$ year calculation here].
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University of Michigan Runs his own tutoring company Carl taught upper-level math in several schools and currently runs his own tutoring company.
He bets that no one can beat his love for intensive outdoor activities!
The ratio of Carbon-14 remaining indicates the times since the death of a living substance.