The e+e-→e+e-hadrons reaction, where one of the two electrons is detected in a low polar-angle calorimeter, is analysed in order to measure the hadronic photon structure function F2 γ. The full high-energy and high-luminosity data set, collected with the L3 detector at centre-of-mass energies 189 GeV≤√s≤209 GeV, corresponding to an integrated luminosity of 608 pb-1 is used. The Q2 range 11 GeV 2≤Q2≤34 GeV2 and the x range 0.006≤x≤0.556 are considered. The data are compared with recent parton density functions.