Deriving entropy change equation from Boltzmann’s principle

1. The problem statement, all variables and given/known data

Show using Boltzmann’s principle (S=k.lnW), show that with respect to changes in V and T:


Where [itex]W=T^{\frac{C}k{}}V^{N}[/itex]

3. The attempt at a solution



Now I know that the differential of lnV is 1/V and lnT is 1/T but I’m unsure on how to do the final step required to get to the equation. My maths is a bit rusty, I’ve tried taking partial derivatives but couldn’t get to the right answer.

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