Anti-Logarithms:

An anti-logarithm is the opposite of a logarithm.  Therefore, finding the anti-logarithm of a number is the similar as searching the value for that the given number is the logarithm.  If log₁₀ X = 2, then 2.0 is the power (exponent) to in which one must raise the base 10 to acquired X, that is, X = 10^2.0 = 100.  The determination of an anti-log is the reverse procedure of finding a logarithm.

Example:

Multiply 38.79 and 6896 using logarithms.

Log 38.79 = 1.58872  Log 6896 = 3.83860

Add the logarithms to get 5.42732

Find the anti-log.

Anti-log 5.42732 = 2.675 x 10⁵ = 267,500

Thus, 38.79 x 6896 = 2.675 x 10⁵ = 267,500