For a certain thermochemical reaction $\mathrm{M} \rightarrow \mathrm{N}$ at $\mathrm{T}=400 \mathrm{~K}, \Delta \mathrm{H}^{\ominus}=77.2 \mathrm{~kJ} \mathrm{~mol}^{-1}, \Delta \mathrm{S}=122 \mathrm{~JK}^{-1}, \log$ equilibrium constant $(\log K)$ is __________ $\times 10^{-1}$.