The relation between the bulk modulus (K) and the coeff. of thermal expansion implied by the Murnaghan logarithmic equation of state are explicitly derived. Values for dK/dT can be obtained from thermal expansion measurements. These values are consistent with, and generally more accurate than, direct compressibility measurements. The equations are confirmed by calcns. for MgO AlO1.5, MgAl2O4, and MgSiO3. The temp. dependence of the bulk modulus can be predicted for solids for which there are no high-temp. compressibility measurements. [on SciFinder(R)]