Logarithm

usgb/ˈlɔːɡərɪðəm/
noun

A mathematical operation that is the reverse of exponentiation.

The base-10 logarithm of 1000 is 3, because 10 to the power of 3 equals 1000.
Visual representation of "logarithm" - A mathematical operation that is the reverse of exponentiation.

Often appears as...

  • base-10 logarithm
  • natural logarithm

Usage tips

Technical

Definition 1 of 1
Visual representation of "logarithm"
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Mathematics Specific

The term 'logarithm' is highly specialized and mostly used in mathematics or fields that use math.

Illustration for Mathematics Specific
She studied the properties of logarithms in her advanced calculus class.
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Not for Estimates

Logarithms express precise relationships, so they aren't used for rough estimates or guesses.

Illustration for Not for Estimates
Calculating the pH in chemistry requires understanding logarithms, not just estimates.
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Base Importance

The base of a logarithm changes its value; common bases are 10 (common logarithm) and e (natural logarithm).

Illustration for Base Importance
In science, the natural logarithm (base e) is often used in growth and decay problems.
Visual representation of the word "Logarithm"

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