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Definition of logarithm:
Synonyms:
log.

mathematics (part of speech: noun)
 divisor,
 multiplicator,
 cube root,
 cube,
 multiple,
 algorithm,
 geometry,
 denominator,
 fraction,
 integral,
 root,
 multiplier,
 quotient,
 dividend,
 formula,
 exponent,
 radix,
 differential calculus,
 square root,
 quadratics,
 multiplicand,
 trigonometry,
 coefficient,
 calculus,
 arithmetic,
 numerator,
 modulus,
 antilogarithm,
 subtrahend,
 factor,
 algebra,
 power,
 increment,
 minuend,
 index,
 reciprocal,
 algorithm
Usage examples:

He must have regretted that the discovery was not made early enough to save him a vast amount of labour in computations, but he managed to find time to compute some logarithm tables for himself, though he does not seem to have understood quite what Napier had done, and though with his usual honesty he gave full credit to the Scottish baron for his invention.
 "Kepler", Walter W. Bryant. 
It is psychological, of course, and it is not hard to explain simply in terms of human experience plus the known fact that the human senses respond to the logarithm of the stimulus.
 "The Fourth R", George Oliver Smith.