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 (

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Question 981571: 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 :
a2=ae^−4.132t

Found 2 solutions by Boreal, solver91311:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
a=ao e ^(-4.132 t)
a=(1/2) ao
Therefore
(1/2)=e^(-4.132 t)
ln of both sides
-0.693= -4.132 t
divide by (-4.132)
t=0.1677 days
check
-4.132*0.1677=-0.6929
e^-0.6929=0.5

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

This is a mathematics website. Yours is a Physics problem.

John

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