Electron multiplication mediated by photons has been observed in liquid xenon doped with trimethylamine in concentrations of 0, 9.3, 43, 118 and 400 ppm. The effect was observed by irradiating a single wire counter with 1 MeV electrons and gamma rays from 207Bi sources. The multiplication factor was observed to increase from a value of 23 at a concentration of 9.3 ppm to a value of 45 at a concentration of 118 ppm. Over the same range of concentrations, the threshold anode voltage for photon-mediated electron multiplication (PMEM) decreased from 2.5 to 1.4 kV and the PMEM results in a deterioration of energy resolution. At a concentration of 400 ppm, the resulting electron multiplication was neither stable nor reproducible.