logarithmically

Meanings

• adjective

  Relating to or denoting a function where the logarithm of the output is proportional to the input.

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Variants

List of all variants of logarithmically that leads to same result
logarithm , logarithmic , logarithmically , logarithms

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Etymology

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

Derived from the Greek word 'logos' meaning 'reason' and 'arithmos' meaning 'number'. Logarithms were originally developed as a method for performing complex calculations more efficiently.

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Trivia

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1. Logarithms were first developed by the Swiss mathematician John Napier in the late 16th century.

2. The first electronic calculator, the Pascaline, was designed by Blaise Pascal in 1642 and was capable of performing logarithmic calculations.

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Related Concepts

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1. logarithmic function: A mathematical function where the logarithm of the output is proportional to the input.

2. natural logarithm: The logarithm base e, which is the mathematical constant approximately equal to 2.71828.

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Culture

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Logarithms have been used extensively in various fields such as mathematics, physics, engineering, and computer science. They are particularly useful in calculating exponential growth and decay, such as in population growth or radioactive decay.

How to Memorize "logarithmically"

1. visualize
   

   - Imagine a logarithmic scale where each tick mark represents a tenfold increase in the value. This can help visualize the relationship between logarithms and exponential growth.

2. associate
   

   - Associate the term 'logarithm' with the word 'ratio' to help remember that it is a function that relates the input and output through a ratio.

3. mnemonics
   

   - Use the mnemonic 'Lots of Apples Grow Big Easy' to remember that the logarithm base 10 is the common logarithm, which is used to calculate powers of ten.

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