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Glossary Math & Statistics

Logarithm

A logarithm answers "what power do I raise the base to in order to get this number?": `log_b(x) = y` means `b^y = x`.

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In more detail

log₁₀ 1000 = 3 and log₂ 8 = 3. Logarithms turn multiplication into addition, which is why they measure sound (decibels), earthquakes and acidity, and why log(x × y) = log x + log y.

Try these tools

Log Calculator

A free online logarithm calculator that finds log base b of x, with dedicated common log (base 10) and natural log (base e) shortcuts.

See also

  • Glossary Exponent
    An exponent says how many times to multiply a base by itself: in `2³` the base is 2, the exponent is 3, and the value is 8.
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