Posted by Korina on Saturday, January 29, 2011 at 9:31pm.
Solve this equation for the number of days, x:
(0.5)^(x/5) = 1/1000
You can compute x by taking the log of both sides.
x/5 = 9.97
x = 49 days
The words "a maximum of" are not needed in your question. After 49 days, the radioactive strength will be exactly 1/1000 of the original value, except for rounding-off error. You only have one significant figure in the half-life.
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