Antilogarithms, common

The common antilogarithm of a number x is the number that has x as its common logarithm. In practice, the common antilogarithm of x is simply another name for 10v, and so the common antilogarithm of 2 is 102 =100 and that of 2.18 is... 

The following relations are presented to facilitate the use of natural and common logarithms, their antilogarithms, and exponential functions. For those readers who are completely unfamiliar with such quantities, a textbook or handbook should be consulted. 

Since not all electronic calculators are alike, detailed instructions cannot be given here. Read your instruction manual. You should purchase a calculator which, in addition to +, x, and functions, provides at least the following scientific notation (powers of ten) logarithms and antilogarithms (inverse logarithms) both natural and common (base ten) and exponentials (/ ). If it has these functions, it will probably have reciprocals (1/x), squares, square roots, and trigonometric functions as well. 

Four functions are available on scientific calculators to take common logarithms LOG I, natural logarithms IlnI, common antilogarithms, and natural antilogarithms [. Each key operates immediately... 

Conversion between logarithms and antilogarithms is so common in geochemical models that it is worth showing the error propagation for these special cases of the application of Eq. (2.23). The antilog transformation converts log to so q x) = 10. ... 

Another common example requires us to find the number having a certain logarithm. This number is often called the antilogarithm or the inverse logarithm. For example, if log N = 4.350, what is N N, the antilogarithm, is simply and to find its value we enter 4.350, followed by the key "10 ". 

The relationship between a "natural" and "common" logarithm simply involves the factor logg 10 = 2.303. That is, for the number AZ, In AZ = 2.303 log N. The methods and relationships described for logarithms and antilogarithms to the base 10 all apply to the base e as well, except that the relevant keys on an electronic calculator are "In" and "e " rather than "log" and "l(f."... 

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