The muon exchange reactions from the ground state of muonic protium and deuterium atoms to neon are studied. Measurements have been performed in binary gas mixtures at room temperature. The transfer rate from thermalized muonic deuterium is found to exceed by about an order of magnitude the one from muonic protium. On the other hand, an energy dependence of the rate from pd is revealed, while none is observed from pp. The intensity patterns of the muonic Lyman series of neon resulting from the muon exchange difFer from one hydrogen isotope to the other, the most obvious discrepancy being the presence of the muonic Ne(7-1) line after transfer from pd, whereas this line is absent by transfer from pp. This indicates that the muon is transferred to the level n"= 6 in neon from protium, respectively, n& --7 from deuterium~. This observation disagrees with the theoretical predictions. This study sheds some light on the surprising behavior of muon transfer to neon.PACS number(s): 36.10. Dr, 34.70.+e, 82.30.Fi