17th Century Logarithm Calculation Hack: Scientific Notation to the Rescue

2025-06-01

This article unveils a clever method for estimating logarithms, invented by John Napier in the 17th century. The core idea leverages the logarithmic property log(a^b) = b * log(a) and scientific notation. By repeatedly calculating the 10th power, the precision gradually improves. A Python script implementing this algorithm is also provided. This ingenious method transforms complex logarithm calculations into relatively simple power operations and scientific notation manipulations, showcasing the ingenuity of early mathematicians in solving complex problems with limited computational tools.