Find the associated half-life time or doubling time:

 Q = 1200e−0.025t

Guest Sep 24, 2017

The way you have your formula written, t is for half-life, which is the exact opposite of doubling time!


Solve for t over the real numbers:
1200/e^(0.025 t) = 600

1200/e^(0.025 t) = 1200 e^(-t/40):
1200/e^(t/40) = 600

Divide both sides by 1200:
e^(-t/40) = 1/2

Take reciprocals of both sides:
e^(t/40) = 2

Take the natural logarithm of both sides:
t/40 = log(2)

Multiply both sides by 40: 
t = 40 log(2) =~ 27.726 Time units.

Guest Sep 24, 2017

24 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.