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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.
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.
logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if b x = n, in which case one writes x = log b n. For example, 2 3 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log 2 8. In the same fashion, since 10 2 = 100, then 2 = log 10 100.
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.
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.
19 Ιουλ 2024 · Logarithms are mathematical functions that help in solving equations involving exponents by translating multiplication of numbers into addition of their exponents. Essentially, a logarithm asks the question: “To what exponent must one number, called the base, be raised to produce another number?”
