  We study a modified version of Rognes' logarithmic structures on structured
ring spectra. In our setup, we obtain canonical logarithmic structures on
connective K-theory spectra which approximate the respective periodic spectra.
The inclusion of the p-complete Adams summand into the p-complete connective
complex K-theory spectrum is compatible with these logarithmic structures. The
vanishing of appropriate logarithmic topological Andre-Quillen homology groups
confirms that the inclusion of the Adams summand should be viewed as a tamely
ramified extension of ring spectra.
