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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:
Logarithms and powers of 10 are used frequently in chemistry. Logs have a reputation of being difficult to use but they are much easier to understand since modern scientific calculators have log 10 x and 10 x functions.
7 Ιουν 2021 · Natural logarithms are used when describing physical processes whose underlying mathematics are exponential (specifically, base-$e$ exponential, which is commonly referred to simply as "exponential"). Examples:
27 Μαρ 2023 · We can use natural logarithms to simplify equations like the Arrhenius equation in chemistry. This allows us to plot a linear graph and determine the relationship between the variables more easily where the relationship between the two is not directly proportional.
The logarithm base 10 is called the decimal or common logarithm and is commonly used in science and engineering. The natural logarithm has the number e ≈ 2.718 as its base; its use is widespread in mathematics and physics because of its very simple derivative. The binary logarithm uses base 2 and is frequently used in computer science.
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.
