Logarithmic rhymes with:
rhythmic, rhythmic, academic, adamec, adamik, aerodynamic, amick, anemic, atomic, autonomic, bulemic, bulimic, cataclysmic, ceramic, comic, cormick, cosmic, cytoplasmic, demick, diatomic, dimick, dimmick, dynamic, economic, electrodynamic, emick, emmick, endemic, endothermic, epidemic, ergonomic, exothermic, formic, gastronomic, gimmick, glutamic, glycemic, gnomic, grasmick, gromek, hamtramck, helmich, helmick, hemodynamic, hypodermic, hypoglycemic, hypothalamic, islamic, klimek, macroeconomic, malloseismic, mc, mccormick, microeconomic, mimic, monatomic, nemec, nonacademic, noneconomic, normick, ophthalmic, organismic, pandemic, panoramic, patronymic, phonemic, photodynamic, polemic, psychodynamic, remic, remick, rhythmic, roemmich, romick, samek, schimek, seismic, shimek, shramek, simek, socioeconomic, sramek, subatomic, systemic, technomic, tomich, tragicomic, uneconomic