"Common to Bürgi and Napier was the use of progressions in defining logarithms. In Bürgi's tables the numbers in the were printed in red, the numbers in the were in black. The relation between Bürgi's logarithms, 10n, and their antilogarithms is expressed in modern notation by the equation 10n = \log[10^8(1 + \frac{1}{10^4})^n], \qquad n = 1, 2, 3, \cdots ."