You have just isolated a new radioactive element. If you can determine its half-life, you will win the Nobel Prize in physics. You purify a sample of 2 grams. One of your colleagues steals half of it, and four days later you find that 0.3 gram of the radioactive material is still left. What is the half-life? (Round your answer to three significant digits.) [Hint: First find an exponential model of the form y = Abt, then convert it to a model of the form y = Aekt using this Quick Example, and finally obtain the resulting half-life.] x days

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