Math, chemistry: conversion of natural logarithm (ln) to log base 10
The tutor tells a quick hint about calculations with logs.
Although base e log (ln) is often used, some lab scientists prefer base 10 log (aka, common log or simply “log”). Typically, of course, logx is assumed to be base 10. What’s an easy way to convert from lny to logy?
By the change of base formula (see my post here), logab=logb/loga.
Therefore, logy=log10y=lny/ln10=lny/2.303
You’ll sometimes see 2.303 in a chemistry calculation:)
Source:
Mortimer, Charles E. Chemistry, sixth edition. Belmont: Wadsworth, 1986.
Jack of Oracle Tutoring by Jack and Diane, Campbell River, BC.
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