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logarithm

logarithm

5 8.4
The power you must raise a fixed number to get a given number
  • noun
  • /ˈlɔɡəˌrɪðəm/
  • Specialized
translation icon : logaritmo
  • To minimize this difficulty, Donno, Russett, and Ross all used the logarithm of per capita GDP.
  • natural logarithm
  • logarithm transformation

For some reason, when people get to logarithms, they just, they just fall apart.

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Examples

  • We control for firm size by including the natural logarithm of total firm assets.

    Academic text (2016)
  • But let's look at the same thing taking the logarithm and check for inflation.

  • But if you take the logarithm, you find this wiggly graph with a downward trend.

  • The same result, incidentally, occurs when the natural logarithm of PCGNP is used.

    Academic text (1990)
  • In view of the skewed distribution of Lp(a) concentration, the logarithm was used when fitting models.

    Academic text (1992)
  • General chemistry instructors want students to become adept at the metric system, proportions, logarithms, and algebra.

    Academic text (1994)
  • In math class, we learned how to calculate the logarithm of a number to better understand its growth rate.

  • The formula states that the logarithm of 1000 base 10 is 3, because 10 raised to the power of 3 equals 1000.

  • To solve the equation, we take the logarithm of both sides to simplify the exponent.

Synonyms

log
vslogarithm
  • Specialized
49 7.9

The power a number must be raised to make another number

is the full technical name used in formal mathematics

Compounds

natural logarithm
  • Specialized
1 5.0

A logarithm that uses the number e, about 2.718, as its base

common logarithm
  • Specialized
5.1

The power you raise 10 to get a number

Napierian logarithm
  • Specialized
9.9

The number that tells how many times e must be multiplied to get another number

Surface Forms

logarithm singular
logarithms plural

Etymology

Logarithm comes from two Greek parts: logos meaning 'relation' and arithmos meaning 'number', and you can see arithmos in the familiar word arithmetic. So a logarithm is a 'number' that shows the 'power' you must raise a base to. In other words, it tells how many times to multiply the base by itself to get another number, which fits its roots about number relations.