Posted by Roseanne on Sunday, October 21, 2012 at 2:34pm.
You have just isolated a new radioactive element. If you can determine its halflife, you will win the Nobel Prize in physics. You purify a sample of 2 grams. One of your colleagues steals half of it, and eight days later you find that 0.1 gram of the radioactive material is still left. What is the halflife? (Round your answer to three significant digits.)

math  Steve, Sunday, October 21, 2012 at 3:17pm
after the theft, there was 1 g left.
If the halflife is n days, then the fraction left after t days is
(1/2)^(t/n)
so, solve this for n:
0.1 = (1/2)^(8/n)
ln 0.1 = (8/n) ln 0.5
ln .1/ln .5 = 8/n
n = 8 * ln .5/ln .1
n = 2.4 days