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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 = log a(x). Most of you are familiar with the standard base-10 logarithm: y = log 10(x); where x = 10y. A logarithm for which the base is not speci ed (y = logx) is always ...
Definition. A logarithm is a mathematical function that describes the power to which a fixed number, called the base, must be raised to get another number. Logarithms are closely related to the concepts of pH and pOH, which are used to measure the acidity or basicity of a solution.
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.
12 Αυγ 2020 · logarithm: The power (or exponent) to which one base number must be raised — multiplied by itself — to produce another number. For instance, in the base 10 system, 10 must be multiplied by 10 to produce 100. So the logarithm of 100, in a base 10 system, is 2. In base 10, the logarithm of 1,000 would be 3, the log of 10,000 would be 4, and ...
30 Απρ 2009 · The definition is written to emphasise an important point, ie one can only take the logarithm of a dimensionless quantity, which in most cases is one without units. This is achieved by dividing the concentration [H + ] by the unit mol dm -3 .
13 Φεβ 2023 · A common question exists regarding the use of logarithm base 10 (log or log10) vs. logarithm base e (ln). The logarithm base e is called the natural logarithm since it arises from the integral: ln(a) = ∫a 1dx x. Of course, one can convert from ln to log with a constant multiplier. ln(10loga) = log(a)ln(10) ≈ 2.3025log(a) but 10loga = a so.
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.
