“Common to Bürgi and Napier was the use of progressions in defining logarithms. In Bürgi's tables the numbers in the {{w|arithmetic progression}} were printed in red, the numbers in the {{w|geometric progression}} 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 .”