For an upper limit, you can use the adiabatic flame temperature. This is a theoretical number calculated by assuming that all of the heat produced by combustion goes into heating just the combustion products (the gases released upon combustion) with no losses. Essentially, this is the highest temperature that can possibly be achieved anywhere within the flame. According to
http://www.doctorfire.com/flametmp.html , the adiabatic flame temperature for wood is about 1977°C. In reality this number will depend a bit on the type of wood and especially the moisture content (higher moisture leading to lower temperatures).
For your situation the temperature will be significantly lower, as most of the heat will be carried up through the chimney with the combustion gases and a significant amount will be radiated out into the room surrounding the fireplace. According to the reference above materials in housefires usually are below 1093°C, so even this would be a safe upper limit. As for the lower limit, that depends a lot on the materials involved, duration of the burn, and many other factors. In the extreme case of burning the top surface of a relatively thick log, the temperature may never get much above room temperature, since the log will essentially block any heat transfer to the plate below.