A pre-calculated table can also be of use, but it is most convenient to use an online log calculator like this one due to its ease of use. log 10(1000) = 3, but in general you can calculate logs using power series or the arithmetic-geometric mean.
#What is the derivative of log base 2 of x how to
How to calculate logarithms?Īlgorithms can be easy to compute in your mind, e.g. The graph above presents the values for the common, natural and binary logarithm functions for the values from 0.1 to 20 (logarithm of zero is not defined). When using our logarithm calculator you need to enter a "Base" of 10 for the common logarithm, 2 for the binary logarithm, and leave the "Base" field empty to get the natural logarithm calculated. The binary logarithm is, of course, mostly used in computer science, e.g. The natural logarithm is widely used in math and physics due to its simpler derivative.
The common logarithm has many uses in engineering, navigation, many of the sciences like physics and chemistry. There are several named logarithms: the common logarithm has a base of 10 (b = 10, log10), while the natural logarithm has a base of the number e (the Euler number, ~2.718), while the binary logarithm has a base of 2. The notation is log bx or log b(x) where b is the base and x is the number for which the logarithm is to be found. This is an example of a simple logarithm as it basically counts the number of multiplications of the same factor - in this case 2. The logarithm (log) operation in mathematics is the inverse to exponentiation, meaning that the log of a number is the exponent to which another fixed number called a "base" was raised to produce the number.