# logarithm

## Meaning

### Noun

• For a number $x$, the power to which a given base number must be raised in order to obtain $x$. Written $\log_b x$. For example, $\log_\left\{10\right\} 1000 = 3$ because $10^3 = 1000$ and $\log_2 16 = 4$ because $2^4 = 16$.

## Origin

• From New Latin logarithmus, term coined by Scot mathematician John Napier from Ancient Greek λόγος ("word, reason") and ἀριθμός; compare rational number, from analogous Latin.

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