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:<math>\log B=\log \big(\lambda(I+K)\big)=\log (\lambda I) +\log (I+K)= (\log \lambda) I + K-\frac{K^2}{2}+\frac{K^3}{3}-\frac{K^4}{4}+\cdots </math>
This [[series (mathematics)|series]] has a finite number of terms (''K''<sup>''m''</sup> is zero if ''m'' is equal to or greater than the dimension of ''K''), and so its sum is well-defined.
Using this approach one finds
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