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antilogarithm


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The antilogarithm of x, denoted by antilog x, is the number whose logarithm is equal to x. For example, suppose that common logarithm tables are used to calculate 2.75×3.12. Then, approximately, log 2.75=0.4393 and log 3.12=0.4942 and 0.4393+0.4942=0.9335. Now antilog 0.9335 is required and, from tables, the answer 8.58 is obtained. Now that logarithm tables have been superseded by calculators, the term ‘antilog’ is little used. If y is the number whose logarithm is x, then logay=x. This is equivalent to y=ax (from the definition of logarithm). So, if base a is being used, antilogax is identical with ax; for common logarithms, antilog10x is just 10x, and this notation is preferable.

Subjects: Mathematics.


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