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n (mathematics) For a number $x$, the power to which a given base number must be raised in order to obtain $x$. Written $\backslash log\_b\; x$. For example, $\backslash log\_\{10\}\; 1000\; =\; 3$ because $10^3\; =\; 1000$ and $\backslash log\_2\; 16\; =\; 4$ because $2^4\; =\; 16$.