Archaeologists used pieces of burned wood, or charcoal, found at the site to date prehistoric paintings and drawings on walls and ceilings of a cave in Lascaux, France. Use the information in Example 3 of Section 3.1 to determine the appropriate age of a piece of burned wood, if it was found that 88% of the C-14 found in living trees of the same type had decayed. (Round your answer to the nearest hundred years.) years

The age of the wood is

Step-by-step explanation:

   From the question we are told that 88% of  of the C-14 found in living trees of the same type had decayed , this means that the proportion of C-14 that is remaining is mathematically evaluated as

Hence

Here  N represents the remaining C-14 while is the original  amount of  C-14

Generally the half life of C-14 is  

Generally from the formula of radioactive decay

=>    

=>    

taking the natural log of both sides

=>  

=>  

=>  

the infinity sign

step-by-step explanation: