Use this calculator to easily calculate the antilogarithm of a number with a given logarithm base (antilog(x)). The default base is the natural logarithm.
What is an antilogarithm?
An antilogarithm, also called inverse logarithm, is the inverse of the logarithm operation. It is exactly the same as exponentiation, that is - to raise a number to a given power. The purpose of the antilog operation is to convert a log number (a number on a logarithmic scale) back to its original value.
A strict definition for the antilog function is: f(x) = bx, which is exactly the inverse of logb(x).
For example, the inverse logarithm of log264 is 26 since 2 x 2 x 2 x 2 x 2 x 2 = 64. Thus antilog(64) = 26 when using a base of 2.
How to calculate an antilog?
To find the antilog of a given log number with a given base, simply raise the base to that number by performing exponentiation. For example, to calculate the inverse log function of log103 (antilog of 3 with a base of 10), just solve 103 = 10 x 10 x 10 = 1000.
In another example, take the antilog of 2 with a base of 5. To compute that, just raise 5 to the power of 2, resulting in: 52 = 5 x 5 = 25. When in doubt, verify the results using our antilog calculator.
Practical applications of the antilog function
Finding an antilog has applications in sciences and applied statistics where logarithmic scales simplify the presentation of information. Examples include physics and engineering scales such as those for sound intensity, sound frequency, corrosion of acids (pH scale), mineral hardness, and the brightness of stars. Perhaps most famous is the decibel scale (dB). Other examples include geo-sciences in which windstorm force and hurricane strength, as well as earthquake magnitudes are measured. The famous Richter scale is a logarithmic one.
Previously scientists and engineers used log tables to calculate inverse logs. Nowadays, having a handy antilog calculator means you no longer need to rely on log tables, since you can quickly calculate antilogarithms using this calculator.
Cite this calculator & page
If you'd like to cite this online calculator resource and information as provided on the page, you can use the following citation:
Georgiev G.Z., "Antilog Calculator", [online] Available at: https://www.gigacalculator.com/calculators/antilog-calculator.php URL [Accessed Date: 09 May, 2021].