The​ half-life of a certain tranquilizer in the bloodstream is 38 hours.

Question

The​ half-life of a certain tranquilizer in the bloodstream is

38

hours. How long will it take for the drug to decay to

84​%

of the original​ dosage? Use the exponential decay​ model,

A=A0ekt​,

to solve.

Answer 1

half life =38 hours

1/2 = e^38r

ln.5 = 38r

r = ln.5/38

.84 = e^ln.5/38)t

ln.84 = ln.5/38)t

t = ln.84/ln(.5/38)

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