  I consider the thermodynamics of the BTZ black hole in the presence of the
higher curvature and gravitational Chern-Simons terms, and its statistical
entropy. I propose a new thermodynamical entropy, which being {\it
non-negative} manifestly, such as the second law, as well as the first law, of
thermodynamics is satisfied. I show that the new \therl entropy agrees
perfectly with the statistical entropy for $all$ the values of the conformal
factor of the higher curvature terms and the coupling constant of the
gravitational Chern-Simons term, in contrast to some disagreements in the
literatures. The agreement with both the higher curvature and gravitational
Chern-Simons terms is possible because of an appropriate balancing of them,
though it is not a trivial matter because of a conflict in the appropriate
Hilbert space for a well-defined conformal field theory for each term.
