Chemical potential for van de Waarls gas

[Dassinia]

Hello,
In my book, we have two equations to find the chemical potential
µ_j=(dF/dN_j) T, V and N constants

and

µ_j=-kT ln (ζ_j/N_j)

We calculated the potential of a Van der Waals gas using each of these equations, but the result is not the same, i want to understand why ?

 

[DrClaude]

Please show your calculations.