logarithmetic

Meanings

• noun

  A branch of mathematics dealing with the properties and relationships of numbers, particularly the study of the logarithm, which is the inverse operation of exponentiation.

  - "Logarithmic functions are essential in calculus."
  - "The natural logarithm is the inverse function of e to the power of x."

• verb

  The process of finding the power to which a number must be raised to produce a given number when the base of the logarithm is raised to that power.

  - "To find the logarithm of 27 to the base 10, we use the logarithm table or calculator."
  - "The logarithm of 1000 to base 10 is 3."

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Variants

List of all variants of logarithmetic that leads to same result
logarithm , logarithmic , logarithmically , logarithms , logarithmic function , logarithmic functions , logarithmic scale , logarithmic scales

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Etymology

origin and the way in which meanings have changed throughout history.

From the Greek word logarithmus, meaning 'ratio of proportional numbers'.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. The first known use of logarithms dates back to 1614 by the Scottish mathematician John Napier.

2. Logarithmic scales are used in various fields, such as finance, physics, and geology, to represent large ranges of data.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Exponentiation: The mathematical operation of raising a number to a power.

2. Natural logarithm: The logarithm of a number to the base e.

3. Logarithmic function: A function defined as the inverse of an exponential function.

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Culture

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Logarithms have been used extensively in various fields, including science, engineering, and mathematics, for solving complex equations and calculating exponential growth or decay.

How to Memorize "logarithmetic"

1. visualize
   

   - Visualize a number line and imagine moving along it to find the position of a number to find its logarithm.
   - Imagine a logarithmic function as a graph with a slope that decreases as the x-values increase.

2. associate
   

   - Associate the logarithmic function with the inverse operation of exponentiation.
   - Remember that the logarithm of a number is the power to which the base must be raised to produce that number.

3. mnemonics
   

   - Use the mnemonic 'Logs are the opposite of exponents, and they help us to find roots.' to remember the relationship between logarithms and exponents.
   - Create a visual mnemonic by drawing a number line and labeling the positions of logarithms and exponents.

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