the.com/logarithm

the math trick that turned impossible multiplication into addition and saved astronomers from going insane

means A mathematical function that tells you the power to which a fixed number (the base) must be raised to produce a given number, turning multiplication into addition and division into subtraction.

from Coined in the early 17th century by the Scottish mathematician John Napier, who stitched together two Greek words: logos, meaning 'ratio' or 'reckoning,' and arithmos, meaning 'number.' So a logarithm is, quite literally, a 'ratio-number' — Napier's name for the clever bookkeeping of proportions that let weary astronomers and navigators trade grinding multiplication for gentle addition.

inventor
John Napier spent 20 years building the first tables
slide rules
powered engineering and Apollo missions for centuries
human ears
perceive loudness logarithmically, not linearly
earthquakes
each Richter point means ten times the shaking
the e base
appears naturally in growth, decay, and compound interest
for instance

briggs logarithm — base-10 logarithm system developed by henry briggs in 1617 for navigation and astronomy

natural logarithm — base-e logarithm system used throughout calculus and physics, discovered by john napier around 1614

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