A logarithm is an exponent. The logarithm (to the base 10) of 100 is 2 because 102 = 100. This can be abbreviated log10100 = 2. Because logarithms are exponents, they have an intimate connection with exponential functions and with the laws of...

The logarithm of a positive real number x to the base-a is the number y that satisfies the equation ay = x. In symbols, the logarithm of x to the base-a is loga x, and, if ay = x, then y = loga x. Essentially, the logarithm to base-a is a function: To...

The invention of logarithms plays an important role in the history of mathematics. However, their use was also significant in the fields of science and astronomy, as well as in the development of the digital computer. The scientific explorations in the...

In mathematics, the power to which a base must be raised to yield a given number (e.g., the logarithm to the base 3 of 9, or log3 9, is 2, because 32 = 9). A common logarithm is a logarithm to the base 10. Thus, the common logarithm of 100 (log 100) is...

In mathematics, a logarithm of a given number to a given base is the power to which you need to raise the base in order to get the number. For example, the logarithm of 1000 to the common base 10 is 3, because 10 raised to a power of 3 is 1000. More...