  Within the nonextensive framework, it is shown that zeroth law of
thermodynamics determines not only the mapping between Lagrange multipliers and
intensive variables, but also the mapping between nonextensive and extensive
entropy. The form of constraints decides the form of the extensive entropy,
standard averages lead to Boltzmann-Shannon-Gibbs entropy while normalised
biased averages lead to Renyi entropy. The mapping between Lagrange multipliers
and intensive variables is also discussed in the more general context of
composable entropy.
