Establish age log easily
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How to establish age log
A wooden artifact from an ancient tomb contains 60% of the carbon-14 that is present in living trees. How long ago, to the nearest year, was the artifact made? And were given the fact that half-life of carbon-14 is 5,730 years. Well solve this problem using the exponential function given here below where P of t is the amount after time t, P sub zero is the starting amount, and k would be the exponential decay rate. To determine how long ago this artifact was made we have to first find k, the exponential decay rate. We can find k, since were given that the half-life of carbon-14 is 5,730 years. This means for example, if we start with one gram of carbon-14, we could say that P sub zero equals one gram. Then after 5,730 years, half of this would remain, meaning P of 5,730 would be equal to one-half of a gram. We can use this information to find k and then answer the question. So with this information, this would give us the equation one-half equals one times e, raised to the power of
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