How to derive formula for nucleus decay using this equation?

[Gwyndolin]

Homework Statement

The formula being derived is N=No*e^k*t, from the equation Nn=No/2^n where No is the initial number of particles and the lowercase n in the second equation is the number of half lives. The n in Nn just indicates the number of particles after so many half lives. You might also use the formula for the decay constant so feel free to.

Homework Equations

N=No*e^kt
Nn=No/2^n
k=-.693/t

The Attempt at a Solution

I haven't really made any meaningful progress so I leave it to you!

 

[SteamKing]

Homework Statement

The formula being derived is N=No*e^k*t, from the equation Nn=No/2^n where No is the initial number of particles and the lowercase n in the second equation is the number of half lives. The n in Nn just indicates the number of particles after so many half lives. You might also use the formula for the decay constant so feel free to.

Homework Equations

N=No*e^kt
Nn=No/2^n
k=-.693/t

The Attempt at a Solution

I haven't really made any meaningful progress so I leave it to you!

Sorry. PF is not a Homework service. You'll have to do the work, and we'll answer questions and make suggestions if you get stuck.