Abstract:
In this work, we present an algorithm for computing logarithms
of positive real numbers, that bares structural resemblance to the elementary
school algorithm of long division. Using this algorithm, we can compute
successive digits of a logarithm using a 4-operation pocket calculator. The
algorithm makes no use of Taylor series or calculus, but rather exploits
properties of the radix-
representation of a logarithm in base . As
such, the algorithm is accessible to anyone familiar with the elementary
properties of exponents and logarithms
representation of a logarithm in base . As
such, the algorithm is accessible to anyone familiar with the elementary
properties of exponents and logarithmsAvailable as PostScript, PDF, DVI.