The decay of a particular radioactive substance is given by the formula N=N[0]e^(-0.3t) where t is the time it takes for half of the substance to decay, and N[0] is the initial amount of the substance. Find the half-life of this substance to the nearest thousandth of a year.

Question

zarkon · Answer

I don't believe that you typed the problem correctly

anonymous · Answer

$$N=N _{0}e ^{-0.3t}        and     N _{0}  $$

zarkon · Answer

this "where t is the time it takes for half of the substance to decay" is wrong

what is the time unit for t?

zarkon · Answer

years?

anonymous · Answer

yes years

zarkon · Answer

solve $$\frac{1}{2}=e^{-.3t}$$

for t

zarkon · Answer

we really have 

$$\frac{N_0}{2}=N_{0}e^{-.3t}$$

the $$N_{0}'s$$ cancel.

anonymous · Answer

t=7.39427?

zarkon · Answer

no

zarkon · Answer

i get t=2.31049

anonymous · Answer

yup, thats what i just got Thanks so much man!!

zarkon · Answer

cool