Natural antilogarithm

Note An antilogarithm (natural) of 0.987 equals to 2.68. However, as it was explained earlier (see insert), the temperature coefficient of 2.68 would pretend, precision wise, that it is determined with an accuracy of 1%. It is not so, of course. 

When we take (natural) antilogarithms of both sides, we obtain [A]/[AJ ) = e kt, and therefore... 

Taking the natural antilogarithm of this expression, we obtain... 

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... 

Using two of the earlier examples, the antilog of 3 is 1000, and the antilog of 2.931 is 853. To obtain the antilog with a calculator, you enter the number and press the 10 button. Similarly, to obtain the natural antilogarithm, you enter the number and press the e button. [On some calculators, you enter the number and first press INV and then the log (or ln) button.]... 

By taking natural antilogarithms (that is, by forming e- ), k 2 = 2.18fcr,. This result corresponds to sKghtly more than a doubling of the rate constant. 

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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