SOLUTION: The half-life of a radioactive material is the time in which half of it will disintegrate. If its amount after t years is {{{ (5)(2^(-t/90)) }}}, what is its half life?

Question 1187531: The half-life of a radioactive material is the time in which half of it will disintegrate. If its amount after t years is , what is its half life?
Answer by ikleyn(52802) (Show Source): You can put this solution on YOUR website!
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Half-life is when   2^(-t/90) = 2^(-1) = .


It is when


     = -1,   or   t = 90.


ANSWER.  In this problem, the half-life is 90 years.

Solved, answered and explained.

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