 IV. The logarithm of a root of a number is found by dividing the logarithm of the number by the index of the root : log v/a = (log a)/b. This follows from the fact that if 10  Logarithms - Page 2by Henry Nathan Wheeler - 1882 - 43 pagesFull view - About this book
 | Benjamin Peirce - Algebra - 1837 - 302 pages
...divisor. 12. Corollary. We have, by arts. 11 and 7, log. - = log. 1 — log. n IV =. — log. n ; that is, the logarithm of the reciprocal of a number is the negative of the logarithm of the number. Logarithms in different Systems. 13. Corollary. Since zero is the reciprocal of infinity, we have log.... | |
 | Benjamin Peirce - Algebra - 1837 - 300 pages
...12. Corollary. We have, by arts. 11 and 7, log. - = log. 1 — log. n TC .i = — log. n ; that is, the logarithm of the reciprocal of a number is the negative of the logarithm of the number. Logarithms in different Systems. •13. Corollary. Since zero is the reciprocal of infinity, we have... | |
 | Benjamin Peirce - Algebra - 1855 - 308 pages
...divisor. 14. Corollary. We have, by arts. 13 and 9, log. — = log. 1 — log. n = — log. n ; that is, the logarithm of the reciprocal of a number is the negative of the logaiithm of the number. Logarithms in different Systems. 15. Corollary. Since zero is the reciprocal... | |
 | Alfred Monroe Kenyon, Louis Ingold - Trigonometry - 1913 - 300 pages
...v/a = (log a)/b. This follows from the fact that if 10' = a, then 10'/s = a1/s = Va. Corollary of II. The logarithm of the reciprocal of a number is the negative of the logarithm of the number: log (I/a) = — log a, since log 1 = 0. 4. Characteristic and Mantissa. It is shown in algebra that... | |
 | Earle Raymond Hedrick - Logarithms - 1913 - 162 pages
...\/a = (log a)/b. This follows from the fact that if 101 = a, then 10!/b = a1/6 = Va. Corollary of II. The logarithm of the reciprocal of a number is the negative of the logarithm of the number: log (I/a) =— log a, since log 1=0. 4. Characteristic and Mantissa. It is shown in algebra that every... | |
 | Alfred Monroe Kenyon, William Vernon Lovitt - Mathematics - 1917 - 384 pages
...minus the logarithm of the divisor. For, ~N = ~bl ~~ therefore logs jr = k — I = logs M - logs N. 5) The logarithm of the reciprocal of a number is the negative of the logarithm of the number. For on putting M = 1 under (4) above, we have logs jj = logs 1 - logs N = - logs N, since logs 1=0.... | |
 | Leonard Magruder Passano - Trigonometry - 1918 - 330 pages
...= (log a)/b. This follows from the fact that if 10* = a, then 10 l/b = a1/* = va. Corollary of II. The logarithm of the reciprocal of a number is the negative of the logarithm of the number: log (I/a) = — loga, since log 1 = 0. 4. Characteristic and Mantissa. It is shown in algebra that... | |
 | Winfield Paul Webber, Louis Clark Plant - Calculus - 1919 - 330 pages
...number. 4. The logarithm of the nth root of a number is the logarithm of the number divided by n. 5. The logarithm of the reciprocal of a number is the negative of the logarithm of the number. (See co-logarithm below.) It may be more convenient to use addition when dividing with logarithms.... | |
 | Alfred Monroe Kenyon, Louis Ingold - Plane trigonometry - 1919 - 306 pages
...\/a = (log a)/6. This follows from the fact that if 101 = a, then 10Y* = a1/5 = Va. Corollary of II. The logarithm of the reciprocal of a number is the negative of the logarithm of the number: log (1/a) =— loga, since log 1 = 0. 4. Characteristic and Mantissa. It is shown in algebra that every... | |
 | Lloyd Leroy Smail - Finance - 1925 - 338 pages
...number. Point off the decimal point by the rule for characteristic. 199. Cologarithm. — The cologarithm of a number is the negative of the logarithm of the number: colog AT = —log N. It may also be defined as the logarithm of the reciprocal of the number: colog... | |
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