Hi guys,
New to this forum so let me know If I am doing anything wrong.
My question: Ive decided to take a calculus course after many years of not doing any math.. If you can give me hints in regards to this question it would be greatly appreciated.
A 96-milligram sample of a radioactive substance decays according to the equation
N=96 ·e-0.034 ·t where N is the number of milligrams present after t years.
(a) Find the half-life of the substance to the nearest tenth of a year.
TIA
Thank you very much.
Oh man, I need to review my logs
To summarize, I am given K or some variable. Plug known variable in and solve for Time in this case. I understand looking at your steps, but I have a stupid question to ask:
Why do we ln both sides again? Was it to bring down the exponent?
Its been a really, really, long time..
Yeah, and logs and exponentials are inverse operations like adding and subtracting.
In my post everything except the last two lines is deriving the general half life formula so if you don't need to know it's derivation you can stick with
k will always be the number next to t and will be a power along with t as well as k > 0. The units will be 1 over the units of k for any exponent must be dimensionless. If k is in per minute, t will be in minutes