We observed an ambipolar behavior in multiwalled carbon nanotubes in a backgate configuration, which allowed us to perform systematic inspection of the low-temperature transport properties against gate voltage. The results revealed that a power-law temperature-dependent conductance, which is a sign of an unconventional metallic state, disappears when a high gate voltage is applied, and conductance becomes temperature independent, indicating a normal Fermi liquid state. This demonstrates a field effect tuning of electronic states in nanoscaled materials.