SOLUTION: the number of grams of a certain radioactive substance present after t hours is given by the equation Q=Q(0)e^-0.45t, where Q(0) represents the initial number of grams. how long wi

Question 684727: the number of grams of a certain radioactive substance present after t hours is given by the equation Q=Q(0)e^-0.45t, where Q(0) represents the initial number of grams. how long will it take 2500 grams to be REDUCED to 1250 grams?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the number of grams of a certain radioactive substance present after t hours is given by the equation Q=Q(0)e^-0.45t, where Q(0) represents the initial number of grams. how long will it take 2500 grams to be REDUCED to 1250 grams?
--------
Solve for "t":
1250 = 2500*e^(-0.45t)
----
e^(-0.45t) = 0.5
---
Take the log of both sides:
-0.45t = ln(0.5) = -0.6931
t = 1.54 hours
=================
Cheers,
Stan H.

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