Muon Decay: Homework Statement & Solution

[cam borrett]

Homework Statement

By taking the natural logarithms of each side, that this equation can be linearized by making a semi logarithmic plot. Identify the variables and state what the slope , and y-intercept would represent.

Homework Equations

F=Fo*e^-(d/cτ)

The Attempt at a Solution

I tried logging both sides, however i cannot get past the step.

log(F)/log(Fo*e)= -d/cτ

 

[SteamKing]

Homework Statement

By taking the natural logarithms of each side, that this equation can be linearized by making a semi logarithmic plot. Identify the variables and state what the slope , and y-intercept would represent.

Homework Equations

F=Fo*e^-(d/cτ)

The Attempt at a Solution

I tried logging both sides, however i cannot get past the step.

log(F)/log(Fo*e)= -d/cτ

You need to brush up on the rules of logarithms, especially natural logarithms.

After all, if you simplify ln (e^x), what do you get?

 

[Joffan]

Also note that multiplication is lower priority than exponentiation, so Fo was not raised to any power in the "relevant equation".

log(a.b^x) = log(a) + x.log(b)