What is Log? The logarithm, or log, is the inverse of the mathematical operation of exponentiation . This means that the log of a number is the number that a fixed base has to be raised to in order to yield the number. Conventionally, log implies that base 10 is being used, though the base can technically be anything. When the base is e, ln is usually written, rather than log e . log 2 , the binary logarithm, is another base that is typically used with logarithms. If for example: x = b y ; then y = log b x; where b is the base Each of the mentioned bases are typically used in different applications. Base 10 is commonly used in science and engineering, base e in math and physics, and base 2 in computer science. Basic Log Rules When the argument of a logarithm is the product of two numerals, the logarithm can be re-written as the addition of the logarithm of each of the numerals. log b (x × y) = log b x + log b y EX: log(1 × 10) = log(1) + log(10) = 0 + 1 = 1 When the...