In mathematics, the logarithm of a number to a given base's the power or exponent to which the base must be raised in order to produce the number. For example, the logarithm of 1000 to the base 10's 3, because 3's how many 10s you must multiply to get 1000: thus 10 × 10 × 10 = 1000; the base 2 logarithm of 32's 5 because 5's how many 2s one must multiply to get 32: thus 2 × 2 × 2 × 2 × 2 = 32. In the language of exponents: 103 = 1000, so log101000 = 3, and 25… (More on Logarithm)