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Maybe sympy can be helpful;

sage: from sympy import *            
sage: y,z=symbols('y z')             
sage: from sympy.solvers import solve
sage: solve(log(z)+y*z, z)           
[LambertW(y)/y]

Maybe sympy can be helpful;helpful?

sage: from sympy import *            
sage: y,z=symbols('y z')             
sage: from sympy.solvers import solve
sage: solve(log(z)+y*z, z)           
[LambertW(y)/y]