Homework Help: Quick math question

How does the following expand;

(q + N )*ln(q +N)

I'm Trying to arrive at sterling approximation for the multiplicity for einstein solid where q>>N. Any tips appreciated.

Thanks

 

Thanks,

I'm going to have to see my prof. on this one. I'll let you know how it works out if you'd like.

 

For my next exercise I'm to derive the case where N >> q. In these simple idealized cases of 2 solids interacting. So big q is high temp case- I think.
I've already used the sterling approximation to get the factorials out of the equation and now I'm just hashing it into best form.

many thanks.