Question: How to solve for g(z) from this equation

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1/x!*subs(z=0,Diff(g(z)^x, x$(x-1))) = n*x

1/x!*subs(z=0,Diff(g(z)^x, z$(x-1))) = n*x

how to solve for g(z) ?

as i do not know what do this respect to which variable from a book. so i capture this diagram.

hope that can solve it

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