Correct way to express SOSII constraints

Thanks for your responses @joehuchette and @miles.lubin. The logarithmic term is part of a bigger problem I’m working on. In particular I am trying to minimize a MIQCP program, which has a log term in the objective. My approach is to build a piecewise linear approximation to the logarithm so that I can still solve it as a MIQCP instead of reaching for more general MINLP methods. Is there a different approach @miles.lubin?