This paper presents the methods and a part of measurement result about exploration of double exploding foil experiment on inner-shell photoionization X-ray laser scheme. The results show that the line intesities of transitions 3d104p-3d94s2 for Cu-like Pd and Ag ions could be enhanced by the kilovolt pumping X-ray produced in laser-heated NaF and Cu plasmas , but still could not be amplified to form a laser output.