log - technical definition

In mathematics, the exponent expressing the power to which a fixed number (base) must be raised to equal a given number (antilogarithm). Logarithmic functions are the inverses of exponential functions. In an equation expressed as: b n = x where b and x are known, a logarithm can be used to discover n, and is expressed as n = log b (x) For example, log 10 (1000) = 3 because 10 3 = 1,000