log-transformed

The term is a modern scientific compound, built from classical roots to describe a specific mathematical procedure. The first element, 'log', is a direct abbreviation of 'logarithm', a concept coined in the 17th century from Greek 'logos' (ratio) and 'arithmos' (number) to denote the power to which a base number must be raised. The hyphenated compound 'trans-formed' employs the Latin prefix 'trans-' (across) and the past participle of 'form' (to shape), together signifying a process of changing something's form or structure. Thus, 'log-transformed' literally means "shaped across into a logarithmic scale," a concise description of applying a logarithmic function to data to alter its distribution for statistical analysis.

Structure: log (logarithm) + trans (across) + formed (shaped) - log: A clipping of 'logarithm', from Greek 'logos' (word, reason, ratio) and 'arithmos' (number). Functions as the core mathematical concept. - trans: A prefix from Latin 'trans' (across, beyond). Functions as a modifier indicating a change of state. - formed: From Latin 'forma' (shape, form) via Old French. Functions as a past participle suffix indicating the action of shaping or creating.