The solving method of inductive logging's direct and inverse problems under axial symmetry in the medium with constant magnetic susceptibility allowing to consider finite sizes of solenoids, mutual induction, and self-induction of all currents of the problem and the skin-effect is proposed. Solving the direct problem is based on the ability to relate currents in the medium to ones in solenoids by means of a system of linear algebraic equations; whereas solving the inverse problem is based on the ability to join the systems of single direct problems in a system of non-linear algebraic equations for currents and resistivity of the medium. It is shown that the method can be applied to solve the problems of RF isoparametric logging.The proposed method of solving the direct problem of electric logging allows one not to revise the system of equations of a finite-difference scheme when a surrounding medium model is changed. It is shown that the application of this method simplifies solving the inverse problem without solving the boundary problem for the potential equation on each step of the iteration procedure.

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