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  1. Logarithm - Wikipedia

    In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number. For example, the logarithm of 1000 to base 10 is 3, …

  2. Introduction to Logarithms - Math is Fun

    Exponents and Logarithms are related, let's discover how ... The exponent says how many times to use the number in a multiplication. In this example: 23 = 2 × 2 × 2 = 8. So an exponent …

  3. Logarithms - GeeksforGeeks

    Jul 23, 2025 · In mathematics, a logarithm is the inverse operation of exponentiation. It is defined as the power to which the base number must be raised to get the given number. Logarithms …

  4. Logarithmic Functions - Formula, Domain, Range, Graph

    A logarithmic function involves logarithms. Its basic form is f (x) = log x or ln x. Learn about the conversion of an exponential function to a logarithmic function, know about natural and …

  5. Logarithmic Function Definition - BYJU'S

    We know that Mathematics and Science constantly deal with the large powers of numbers, logarithms are most important and useful. In this article, we are going to discuss the definition …

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

    Sep 26, 2025 · Expressed mathematically, x is the logarithm of n to the base b if bx = 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, …

  7. 4.5: Logarithmic Functions - Mathematics LibreTexts

    3 days ago · The inverse of an exponential function is a logarithmic function, and the inverse of a logarithmic function is an exponential function.

  8. Logarithmic functions | Definition, Formula & Examples

    Oct 16, 2025 · Logarithms, the inverse of exponential functions, show the power a base must be raised to produce a number. They are essential for mathematics, science, astronomy, and …

  9. Logarithmic Functions - Formula, Graph, and Examples

    May 24, 2024 · The basic form of a logarithmic function is y = f (x) = log b x (0 < b ≠ 1), which is the inverse of the exponential function b y = x. The logarithmic functions can be in the form of …

  10. Logarithmic Functions – Definition, Rules, Graphs & Solved …

    In simple terms, it tells you what exponent or power you need to raise a base to get a given number. The most common form is f (x) = logb(x) where b (the base) is a positive number not …