............................ — 2-793830 Therefore the index or characteristic of any logarithm is always l less than the number of figures in the integral part of the natural number. Explanation and use of the TalJe of Logarithms. 170. THE table contains the logarithms...

...or in part, decimal, the index must be changed accordingly. Observing that the index must always be one less, than the number of figures in the integral part of the given number; also, when the given number is wholly a decimal, the index is negative, and must be one...

...whole numbers or integers in the logarithmic series are hence easily obtained, being always a unit less than the number of figures in the integral part of the corresponding natural number. On this account it is customary, in the common printed tables, to put...

...numbers or decimals, will be the same, with the exception of the characteristic, which will always be one less than the number of figures in the integral part of the number. For example; taking the number 654685, and dividing it successively by 10, and for each division subtracting...

...characteristic may be positive or negative, and must be supplied according to the following rules : — 1 . The characteristic of the logarithm of a number greater than unity is positive, and equal to one less than the number of integer places. 2. The characteristic of the logarithm...

...four or thousands, the index is 3 ; and so on uniformly, as in the foregoing series, the index being one less than the number of figures in the integral part of the natural number. The decimal part of a logarithm is the same, whether the natural number to which it...

...2-60906, where 2 is the characteristic and -60906 is the mantissa. As the characteristic is always 1 less than the number of figures in the integral part of the number, the logarithm given in the tables is only the decimal part of the required logarithm, and the integral...

...part, which is called the characteristic, is not entered in the tables, but is found by the following rule : The characteristic of the logarithm of a number...greater than unity is one less than the number of the digits of its integer part. Thus, the characteristic of the logarithm of 849 is 2 ; for as this...

...supplied. These observations being understood the following Rule must be borne in mind. Rule. The index of the logarithm of a number greater than unity is one less than the number of digits in the integral part, and when the number is less than unity, the index is properly negative,...

...mantissa ; the integer part, which ie called the characteristic, is not entered, but may be found by The characteristic of the logarithm of a number greater than unity is one less than tf,e number of the digits of its integer part. Thus, the characteristic of the logarithm of 849 is...