# SOLUTION: the half-life of 234u, uranium-234, is 2.52 105 yr. if 98.4% of the uranium in the original sample is present, what length of time (to the nearest thousand years) has elapsed?

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: the half-life of 234u, uranium-234, is 2.52 105 yr. if 98.4% of the uranium in the original sample is present, what length of time (to the nearest thousand years) has elapsed?      Log On

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 Click here to see ALL problems on logarithm Question 473424: the half-life of 234u, uranium-234, is 2.52 105 yr. if 98.4% of the uranium in the original sample is present, what length of time (to the nearest thousand years) has elapsed?Answer by stanbon(57377)   (Show Source): You can put this solution on YOUR website!the half-life of 234u, uranium-234, is 252,105 yr. if 98.4% of the uranium in the original sample is present, what length of time (to the nearest thousand years) has elapsed? ----- A(t) = Ao*(1/2)^t ----- Solve: 0.984Ao = Ao(1/2)^(t/252,105) ----- (1/2)^t/252,105 = 0.984 --- Take the log of both sides: (t/252,105) = log(0.984)/log(1/2) = 0.0233 --- t = 252,105*0.0233 = 5866.43 years ======================================= Cheers, stan H.