The series is formed by successive multiplication, and any antilogarithm to a larger number of decimal places is formed from it in the same way by multiplication.

If N is the antilogarithm of p to the base a, i.e.

The hyperbolic antilogarithm of x is e x .

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For a further explanation of logarithms, and for an explanation of the treatment of cases in which an antilogarithm is less than I, see Logarithm.