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cologarithms
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Cologarithms might refer to |
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In mathematics, the base-b Cologarithm, sometimes shortened to colog, of a number is the base-b logarithm of the reciprocal of the number. It is equal to the negative base-b logarithm of the number.* * * * * colog * * b * * * * ( * x * ) * = * * log * * b * * * * * ( * * * 1 * x * * * ) * * = * * log * * b * * * * ( * 1 * ) * − * * log * * b * * * * ( * x * ) * = * − * * log * * b * * * * ( * x * ) * * * {\displaystyle \operatorname {colog} _{b}(x)=\log _{b}\left({\frac {1}{x}}\right)=\log _{b}(1)-\log _{b}(x)=-\log _{b}(x)} * In chemistry, a decimal cologarithm is indicated by the letter p. This usage originated with the quantity pH, defined as –log10 [H3O+]. Based on pH, the quantity pKa was later defined as –log10 Ka. |