The photon structure function F_2^gamma(x,Q2) has been measured at <Q2> of 706 GeV2 using a sample of two-photon events with a scattered electron observed in the OPAL electromagneticendcap calorimeter. The data were taken during the years 1997-1999, when LEP operated at epem centre-of-mass energies ranging from 183 to 202 GeV, and correspond to an integrated luminosity of 424 pb-1.This analysis represents the highest <Q2> measurement of F_2^gamma(x,Q2) made to date.