SOLUTION: Fluorine-18, with a half-life of 1.83 hours, is used in medical imaging. How long will it take for 5 grams of fluorine-18 to decay to 4 grams?

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Question 189955This question is from textbook saxon algebra 2
: Fluorine-18, with a half-life of 1.83 hours, is used in medical imaging. How long will it take for 5 grams of fluorine-18 to decay to 4 grams?This question is from textbook saxon algebra 2

Answer by stanbon(48545) (Show Source):
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Fluorine-18, with a half-life of 1.83 hours, is used in medical imaging. How long will it take for 5 grams of fluorine-18 to decay to 4 grams?
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A(t) = A(0)(1/2)^(t/(half-life)
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4 = 5(1/2)^(t.1.83)
(1/2)^(t/1.83) = (4/5)
Take the log of both sides to get:
(t/1.83)*log(1/2) = log(4/5)
t/1.83 = 0.3193
t = 0.58913 hours
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Cheers,
Stan H.