 | Charles Davies - Navigation - 1837 - 342 pages
...v. of — - hence : */v If one number be divided by another, the logarithm of the quotient will be equal to the logarithm of the dividend diminished by that of the divisor. Therefore, the subtraction of logarithms corresponds to the division of their numbers. . > i 4. Let... | |
 | John Charles Snowball - 1837 - 322 pages
...logarithm is the sum of the logarithms of the several factors, we obtain the product of those factors. 5. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. For a " =-=V n a1a?1 .-. la (— I => la»и- \аП. \П I r log... | |
 | Charles Davies - Surveying - 1839 - 376 pages
...logarithm fM , of — hence: If one number be divided by another, the logarithm of the quotient will be equal to the logarithm of the dividend diminished by that of the divisor. Therefore, the subtraction of logarithms corresponds to the division of their numbers. 4. Let us examine... | |
 | Charles Davies - Surveying - 1839 - 376 pages
...fM , of — - hence : JV If one number be divided by another, the logarithm of the quotient will be equal to the logarithm of the dividend diminished by that of the divisor. Therefore, the subtraction of logarithms corresponds to the di. vision of tfieir numbers, 4. Let us... | |
 | John Hymers - Logarithms - 1841 - 244 pages
...generally, that the logarithm of a product is equal to the sum of the logarithms of its factors. 8. The logarithm of a quotient is equal to the logarithm...of the dividend diminished by that of the divisor. ч 102 Since m - o*, n — а", та* .-.-=— = а-', n а? •'• 1оёа (г ) = Х - У = l°Sam... | |
 | Charles Davies - Navigation - 1835 - 388 pages
...logarithm of — - hence : Jf If one number be divided by another, the logarithm of the quotient w\ll be equal to the logarithm of the dividend diminished by that of the divisor. Therefore, the subtraction of logarithms corresponds to the division of their numbers. 4. Let us examine... | |
 | Charles Davies - Algebra - 1842 - 284 pages
...logarithm of — ; hence, If one number be divided by another, the logarithm of the quotient will be equal to the logarithm of the dividend diminished by that of the divisor. Therefore, the subtraction of logarithms corresponds to the division of their numbers. 178. Let us... | |
 | Charles Davies - Algebra - 1848 - 300 pages
...logarithm of — ; hence, If one number be divided by another, the logarithm of the quotient will be equal to the logarithm of the dividend diminished by that of the divisor. Therefore, the subtraction of logarithms corresponds to the division of their numbers. 178. Let us... | |
 | A. D. Stanley - 1854 - 416 pages
...N=b", M-±N=bm+-b* = b'-\ Therefore the logarithm of the quotient of one number divided by anouier is equal to the logarithm of the dividend diminished by that of the divisor. 2 12. Again, if M is a number whose logarithm is m, the logarithm of M" is mn. л For as M=bm, M" =... | |
 | John Hymers - Logarithms - 1858 - 324 pages
...generally, that the logarithm of any product is equal to the sum of the logarithms of its factors. 8. The logarithm of a quotient is equal to the logarithm...of the dividend diminished by that of the divisor. Since m — a", n = a", m a_ i fm\ ii .'' S" (n) = X~y= g" m ~ g° n' 9. The logarithm of any power... | |
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The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. 
