  In this article, we show new effective approximation measures for the shifted
logarithm of algebraic numbers which belong to a number field of arbitrary
degree. Our measures refine previous ones including those for usual logarithms.
We adapt Pade approximants constructed by M. Kawashima and A. Poels in the
rational case. Our key ingredient relies on the Poincare-Perron theorem which
gives us asymptotic estimates at every archimedean place of the number field,
that we apply to decide whether the shifted logarithm lies outside of the
number field. We use Perron's second theorem and its modification due to M.
Pituk to handle general cases.
