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  2. List of logarithmic identities - Wikipedia

    en.wikipedia.org/wiki/List_of_logarithmic_identities

    ln (r) is the standard natural logarithm of the real number r. Arg (z) is the principal value of the arg function; its value is restricted to (−π, π]. It can be computed using Arg (x + iy) = atan2 (y, x). Log (z) is the principal value of the complex logarithm function and has imaginary part in the range (−π, π].

  3. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    The logarithm of x to base b is denoted as log b (x), or without parentheses, log b x. When the base is clear from the context or is irrelevant it is sometimes written log x. The logarithm base 10 is called the decimal or common logarithm and is commonly used in science and engineering.

  4. History of logarithms - Wikipedia

    en.wikipedia.org/wiki/History_of_logarithms

    The Napierian logarithms were published first in 1614. E. W. Hobson called it "one of the very greatest scientific discoveries that the world has seen." [1]: p.5 Henry Briggs introduced common (base 10) logarithms, which were easier to use. Tables of logarithms were published in many forms over four centuries.

  5. Logarithmic differentiation - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_differentiation

    Calculus. In calculus, logarithmic differentiation or differentiation by taking logarithms is a method used to differentiate functions by employing the logarithmic derivative of a function f, [1] The technique is often performed in cases where it is easier to differentiate the logarithm of a function rather than the function itself.

  6. Logarithmic scale - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_scale

    Logarithmic scale. A logarithmic scale (or log scale) is a method used to display numerical data that spans a broad range of values, especially when there are significant differences between the magnitudes of the numbers involved. Unlike a linear scale where each unit of distance corresponds to the same increment, on a logarithmic scale each ...

  7. Change of base - Wikipedia

    en.wikipedia.org/wiki/Change_of_base

    In mathematics, change of base can mean any of several things: Changing numeral bases, such as converting from base 2 (binary) to base 10 (decimal). This is known as base conversion. The logarithmic change-of-base formula, one of the logarithmic identities used frequently in algebra and calculus. The method for changing between polynomial and ...

  8. Division (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Division_(mathematics)

    Logarithm (log) log. logarithm {\displaystyle \scriptstyle {\text {logarithm}}} v. t. e. Division is one of the four basic operations of arithmetic. The other operations are addition, subtraction, and multiplication. What is being divided is called the dividend, which is divided by the divisor, and the result is called the quotient.

  9. Slide rule - Wikipedia

    en.wikipedia.org/wiki/Slide_rule

    log-log folded and scales, for working with logarithms of any base and arbitrary exponents. 4, 6, or 8 scales of this type are commonly seen. Ln linear scale used along with the C and D scales for finding natural (base e {\displaystyle e} ) logarithms and e x {\displaystyle e^{x}}