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Algebra

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Moderate

Applications of Logarithms - Chemist Experiment

ALGEBR-FM5GKE

A chemist running tests on an unknown sample from an illegal waste dump isolates 100 grams of what he suspects is a radioactive element. Since he is a chemist, he knows every radioactive element has a ​different half-life (the time needed for the original amount to reduce by half); knowing the half-life will help him to identify the element.

He determines that after 60 days, only 95 grams of the original element remains.

What is the half-life of this mystery element?

A

490 days

B

767 days

C

811 days

D

902 days