 We therefore have : (i.) The characteristic of the logarithm of a number greater than unity is positive, and is one less than the number of digits in its integral part.  Elements of Algebra with Exercises - Page 470by George Egbert Fisher, Isaac Joachim Schwatt - 1899 - 478 pagesFull view - About this book
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1897 - 552 pages
...JQ(nl)+ a fraction . л log N = (n — 1) + a fraction. Hence the characteristic is n — 1 ; that is, the characteristic of the logarithm of a number greater than unity is less by one than the number of digits in its integral part, and is positive. 437. The Characteristic... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1900 - 484 pages
...1 + a decimal. In general, since any number having n digits in its integral part lies between 10*-1 and 10", its logarithm lies between n - 1 and n, ie,...(i.) The characteristic of the logarithm of a number gre0ter than unity is positive, and is one less than the number of digits in its integral parí. Eg,... | |
 | George Egbert Fisher - Algebra - 1900 - 438 pages
...integral part lies between 10""1 and 10* its logarithm lies between n — 1 and n, Ie, is n — 1 + а decimal. We therefore have : (i.) The characteristic...unity is positive, and is one less than the number of dielits in its integral part. Eg, log 2756.3 = 3 + a decimal. Since a number less than 1 having no... | |
 | George Egbert Fisher - 1900 - 444 pages
...1 + a decimal. In general, since any number having n digits in its integral part lies between 10"~* and 10", its logarithm lies between n - 1 and n, ie, is n - 1 + и decimal. We therefore have : (i.) The characteristic of the logarithm of a number greater than... | |
 | George Egbert Fisher - 1901 - 622 pages
...1 + a decimal. In general, since any number having n digits in its integral part lies between 10""1 and 10", its logarithm lies between n — 1 and n,...ie, is n — 1 + a decimal. We therefore have : (i.) TJie characteristic of the logarithm of a number greater than unity is positive, and is one less than... | |
 | James Harrington Boyd - Algebra - 1901 - 818 pages
...of digits in the number. Thus, the characteristic of log 11749 is 4, of log 6748. G3 is 3. 563. RULE I. — The characteristic of the logarithm of a number greater than unity is positive and is equal to the number of digits t» tY* integral part less one. 564. Similarly, if the number is less... | |
 | James Harrington Boyd - Algebra - 1901 - 812 pages
...common logarithm of any number greater than 1 can be written down by the following rule. 563. RULE I. — The characteristic of the logarithm of a number greater than unity is positive and it equal to the number of digit» in its integral pari les» one. 564. Similarly, if the number is... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1901 - 646 pages
...+ a decimal. In general, since any number having n digits in its integral part lies between 10" ~l and 10", its logarithm lies between n — 1 and n, ie, is n — 1 -fa decimal. We therefore have : (i.) The characteristic of the logarithm of a number greater than... | |
 | Macmillan & Co - Textbooks - 1901 - 802 pages
...10(>il)+» fraction . .'. log N= (n - 1 ) + a fraction. Hence the characteristic is n - 1 ; that is, the characteristic of the logarithm of a number greater than unity is less by one than the number of digits in itt integral part, and it positive. 382. To determine the... | |
 | Herbert Edwin Hawkes - Algebra - 1905 - 314 pages
...any number may be seen from the above table, from which the following rules are immediately deduced. The characteristic of the logarithm of a number greater than unity is one less than the number of digits to the left of its decimal point. Thus the characteristic of the... | |
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