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cologarithm

American  
[koh-law-guh-rith-uhm, -rith-uhm, -log-uh-] / koʊˈlɔ gəˌrɪð əm, -ˌrɪθ əm, -ˈlɒg ə- /

noun

Mathematics.
  1. the logarithm of the reciprocal of a number, often used in expressing the logarithm of a fraction: log 7/25 = log 7 + colog 25. colog


cologarithm British  
/ kəʊˈlɒɡəˌrɪðəm /

noun

  1.  colog.  the logarithm of the reciprocal of a number; the negative value of the logarithm

    the cologarithm of 4 is log

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Etymology

Origin of cologarithm

First recorded in 1880–85; co- + logarithm