Inclusive gamma^*gamma interactions to hadronic final states where one scattered electron or positron is detected in the electromagnetic calorimeters have been studied in the LEP 1 data taken by ALEPH from 1991 to 1995. The event sample has been used to measure the hadronic structure function of the photon F_2^gamma in three bins with of 9.9, 20.7 and 284 GeV².