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Oh, palm slap to forehead. I flubbed the original question: I was using g[100]==100. I obviously gave up on Solve too quickly!  [mcode]root = (100 - (-1 + E^(100 b))/(-1 + E^(b/10))) /. Exp[b val_] -> expB^val Timing[sol = Solve[root == 0, expB,...