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Logarithms are the mathematical function that is used to represent the number (y) to which a base integer (a) is raised in order to get the number x: x = ay; where y = loga(x). Most of you are familiar with the standard base-10 logarithm: y = log10(x); where x = 10y.
13 Φεβ 2023 · A common question exists regarding the use of logarithm base 10 (\(\log\) or \(\log_{10}\)) vs. logarithm base \(e\) (\(\ln\)). The logarithm base \(e\) is called the natural logarithm since it arises from the integral:
27 Μαρ 2023 · A logarithm is simply the number of times we need to multiply one number together to make another number i.e. it is the power to which a number must be raised to get another number. Logarithms allow us to deal with extremely large or extremely small numbers without getting our heads in a spin.
The classic real-world contexts for logarithm word problems are the measurement of acidity or alkalinity (that is, the measurement of pH), the measurement of sound (in decibels, or dB), and the measurement of earthquake intensity (on the Richter scale), among other uses (link).
In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals.
30 Απρ 2009 · Definition. If three numbers represented as a, b and c obey the relationship: a = bc (i) then we can also say that: c = log b a (ii) The function log b is the logarithm to base b. Although logarithms can be defined to any base, we will consider here only logarithms to base 10 because these are conceptually easier to understand.
Two kinds of logarithms are often used in chemistry: common (or Briggian) logarithms and natural (or Napierian) logarithms. The power to which a base of 10 must be raised to obtain a number is called the common logarithm (log) of the number.
