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  1. Logarithm - Wikipedia

    • In mathematics, the logarithm to base b is the inverse function of exponentiation with base b. That means that the logarithm of a number x to the base b is the exponent to which b must be raised to produce x. For example, since 1000 = 10 , the logarithm base of 1000 is 3, or log10 (1000) = 3. The logarithm of x to base b is denoted as logb (x), or without parentheses, lo… See more

    Motivation

    Addition, multiplication, and exponentiation are three of the most fundamental arithmetic operations. The inverse … See more

    Definition

    Given a positive real number b such that b ≠ 1, the logarithm of a positive real number x with respect to base b is the exponent by which b must be raised to yield x. In other words, the logarithm of x to base b is the unique rea… See more

    Logarithmic identities

    Several important formulas, sometimes called logarithmic identities or logarithmic laws, relate logarithms to one another.
    The logarithm of a product is the sum of the logarithms of the numbers being multiplied; the logarith… See more

    Particular bases

    Among all choices for the base, three are particularly common. These are b = 10, b = e (the irrational mathematical constant e ≈ 2.71828183 ), and b = 2 (the binary logarithm). In mathematical analysis, the logarithm b… See more

    History

    The history of logarithms in seventeenth-century Europe saw the discovery of a new function that extended the realm of analysis beyond the scope of algebraic methods. The method of logarithms was publicly propounde… See more

    Logarithm tables, slide rules, and historical applications

    By simplifying difficult calculations before calculators and computers became available, logarithms contributed to the advance of science, especially astronomy. They were critical to advances in surveying, celestial na… See more

    Analytic properties

    A deeper study of logarithms requires the concept of a function. A function is a rule that, given one number, produces another number. An example is the function producing the x-th power of b from any real number x, … See more

     
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  2. “The logarithm of a positive real number a with respect to base b, a positive real number not equal to 1 [nb 1], is the exponent by which b must be raised to yield a”. i.e. by= a ⇔logba=y Where, “a” and “b” are two positive real numbers y is a real number “a” is called argument, which is inside the log
    In mathematics, the logarithmic function is an inverse function to exponentiation. The logarithmic function is defined as For x > 0, a > 0, and a ≠1, y= log a x if and only if x = a y Then the function is given by f (x) = loga x The base of the logarithm is a. This can be read it as log base a of x.
    byjus.com/maths/logarithmic-functions/
     
  3. Introduction to Logarithms - Math is Fun

    Learn what logarithms are, how to write them, and how they relate to exponents. Find out about common and natural logarithms, positive and negative logarithms, and how to use a calculator.

     
  4. Logarithm | Rules, Examples, & Formulas | Britannica

  5. Logarithms - Definition, Rules, Properties, and …

    Aug 5, 2016 · Learn what logarithms are, how to calculate them, and how to use them in various applications. Find out the difference between common and natural logarithms, and the rules and properties of logarithms with solved examples.

  6. Logarithm - Definition, Function, Rules, Properties

    Dec 30, 2024 · Learn what logarithms are, how to use them, and how they relate to exponentials. Find out the types, formulas, rules, properties, and applications of logarithms with examples and practice problems.

  7. Logarithm (Logs) - Examples | Natural Log and …

    Learn what logarithm is, how to convert between exponential and logarithmic forms, and how to use the rules of logs. Find out the difference between natural log and common log, and see examples and FAQs on logarithms.

  8. Logarithm - Simple English Wikipedia, the free …

    Learn what logarithms are, how they are related to exponential functions, and how they are used in various fields. Find out the history, types, and properties of logarithms, and see examples and applications.

  9. What is a logarithm / What are logarithms - Laws of …

    Revise what logarithms are and how to use the 'log' buttons on a scientific calculator. Logarithms come in the form \ ( {\log _a}x\). We say this as 'log to the base \ (a\) of \ (x\). But...

  10. Logarithm - Definition, Parts, Formula, Graph, and …

    May 28, 2024 · What is a logarithm and how it works with examples. How to solve logarithmic equations is explained with the formula. Also, learn natural and common logarithms.

  11. Algebra - Logarithm Functions - Pauls Online Math Notes

    Nov 16, 2022 · Learn the definition, notation and evaluation of logarithm functions with different bases, including common and natural logarithms. See examples, properties and graphs of logarithm functions.

  12. Logarithm - Math.net

    Learn what a logarithm is, how to use different bases, and how to graph a logarithmic function. Find out why logarithms can't be negative and how to simplify calculations with them.

  13. Logarithm - Definition, Formulas, Graph, Properties & Examples

  14. Logarithms | What?, Importance, Properties, Expressions

  15. Logarithm Laws Made Easy: A Complete Guide with Examples

  16. What are logarithms, and why are they so hard? | Purplemath

  17. What is a Logarithm? - University of Minnesota Twin Cities

  18. How to Understand Logarithms: 5 Steps (with Pictures) - wikiHow

  19. Logarithm - Definition, Formulas, Functions and Solved Examples …

  20. Logarithm Definition (Illustrated Mathematics Dictionary) - Math is …

  21. Logarithms Explained - ChiliMath

  22. Learn Logarithms: Essential Math Skills Simplified - YouTube

  23. Natural logarithm - Wikipedia