# Antilogarithms

If x is the logarithm of a given number n with a given base, then n is called the antilogarithm (antilog) of x to that base.

Antilogarithms can be found using antilog tables.

Example

Find the value of 12.56 Ã— 10.73 using logarithmic tables.

Solution

Let

Taking log on both sides, we get log x = log(12.56 Ã— 10.73)

= log12.56 + log 10.73 (âˆ´ log mn = log m + log n)

= 1.0990 + 1.0306 = 2.1296 (from log tables)

x = Antilog (2.1296) = 134.8

*x*= 12.56 Ã— 10.73Taking log on both sides, we get log x = log(12.56 Ã— 10.73)

= log12.56 + log 10.73 (âˆ´ log mn = log m + log n)

= 1.0990 + 1.0306 = 2.1296 (from log tables)

x = Antilog (2.1296) = 134.8