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In theories with TeV string scale and sub-millimeter extra dimensions theattractive picture of logarithmic gauge coupling unification at $10^{16}$ GeVis seemingly destroyed. In this paper we argue to the contrary that logarithmicunification {\it can} occur in such theories. The rationale for unification isno longer that a gauge symmetry is restored at short distances, but rather thata geometric symmetry is restored at large distances in the bulk away from our3-brane. The apparent `running' of the gauge couplings to energies far abovethe string scale actually arises from the logarithmic variation of classicalfields in (sets of) two large transverse dimensions. We present a number of N=2and N=1 supersymmetric D-brane constructions illustrating this picture forunification.Comment: 21 pages, 6 figure

LOGARITHMIC UNIFICATION FROM SYMMETRIES ENHANCED IN THE SUB-MILLIMETER INFRARED