# SOLUTION: an artifact was found and tested for its carbon-14 content. if 77% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? use that carbon

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: an artifact was found and tested for its carbon-14 content. if 77% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? use that carbon      Log On

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 Click here to see ALL problems on logarithm Question 473415: an artifact was found and tested for its carbon-14 content. if 77% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? use that carbon-14 has a half-life of 5,730 years.Answer by ccs2011(207)   (Show Source): You can put this solution on YOUR website!The general exponential decay function is: Given is that the half-life is 5730. This means that t=5730 when We can solve for k: Take natural log of both sides Divide by 5730 on both sides Now substitute this value in for k into general equation, along with fact that Solve for t: Take natural log of both sides Multiply by reciprocal -> 5730/ln(1/2) Use scientific calculator to estimate answer, round to nearest hundred t = 2,200 years