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4 Αυγ 2024 · Logarithm is a mathematical function that represents the exponent to which a fixed number, known as the base, must be raised to produce a given number. In other words, it is the inverse operation of exponentiation.
In this article, we are going to learn the definition of logarithms, two types of logarithms such as common logarithm and natural logarithm, and different properties of logarithms with many solved examples.
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.
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.
Some important properties of logarithms are given here. First, the following properties are easy to prove. logb1 = 0 logbb = 1. For example, log51 = 0 since 50 = 1. And log55 = 1 since 51 = 5. Next, we have the inverse property. logb(bx) = x blogbx = x, x> 0.
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.
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.
