SOLUTION: A radio active isotope decays according to the exponential decay equation where t is in days. Round to the thousandths place. For the half life: The half life is the solution

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: A radio active isotope decays according to the exponential decay equation where t is in days. Round to the thousandths place. For the half life: The half life is the solution      Log On


   

Question 982298: A radio active isotope decays according to the exponential decay equation where t is in days.
Round to the thousandths place.
For the half life: The half life is the solution (t) of the equation : a/2=ae^−3.524t
Found 2 solutions by solver91311, Alan3354:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!












You can do your own arithmetic.

John

My calculator said it, I believe it, that settles it

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The half life is the solution (t) of the equation :
a%2F2=ae%5E%28-3.524t%29
1%2F2+=+e%5E%28-3.524t%29
ln(0.5) = -3.5324t
t = -ln(0.5)/3.5324
t =~ 0.1962 days