The general equation with half life=
#N(t) = N(0) * 0.5^(t/(T))#
In which #N(0)# is the number of atoms you start with, and #N(t)# the number of atoms left after a certain time #t# for a nuclide with a half life of #T#.
You can replace the #N# with the activity (Becquerel) or a dose rate of a substance, as long as you use the same units for #N(t)# and #N(0)#.
Another equation you might come across is:
#N(t) = N(0) * e^(-lambda*t)#
in which #lambda# (lambda) is the exponential decay constant. You can calculate #lambda# with the half life:
#lambda = ln2/T#
You can derive this equation from the first equation (not discussed here). I usually advise students to use the first equation, because it appears that most students find working with #ln# and #e# more difficult than using the common #log#.
