  Black hole thermodynamics suggests that a black hole should have an entropy
given by a quarter of the area of its horizon. Earlier calculations in U(1)
loop quantum gravity have led to a dominant term proportional to the area, but
there was a correction involving the logarithm of the area. We find however
that SU(2) loop quantum gravity can provide an entropy that is strictly
proportional to the area as expected from black hole thermodynamics.
