 X a" = am+". .'. log. (MX N) = m + n — log. M + log. N. Similarly for the product of three or more factors. (5) The logarithm of the quotient of two positive numbers is found by subtracting the logarithm of the divisor from the logarithm of the dividend....  Five-place Logarithmic and Trigonometric Tables - Page 116by George Albert Wentworth, George Anthony Hill - 1903 - 75 pagesFull view - About this book
 | Arithmetic - 1818 - 264 pages
...divided by 1000. Hence it. is manifest, that. A POWER may be divided by another power of the same root, by subtracting the logarithm of the divisor, from the logarithm of the dividend. So also if the logarithm of any number be multiplied by the index of its power, the product will be... | |
 | Dionysius Lardner - Plane trigonometry - 1828 - 434 pages
...of the equations be divided by another, n But also, n' That is, " the logarithm of the quote of two numbers is found by subtracting the logarithm of the divisor from the logarithm of the dividend." Thus, in general, • • • •) -(Im+lm' + lm" • • • •)• ,,, = mmm"m" therefore be thus... | |
 | Silas Totten - Algebra - 1836 - 320 pages
...two numbers, is equal to the logarithm of their quotient. Hence, division is performed in logarithms by subtracting the logarithm of the divisor from the logarithm of the dividend, and finding the number, in the tables, which corresponds to the difference. Involution by Logarithms.... | |
 | Abraham Crocker - 1841 - 486 pages
...0-602060 1-748188, which answers in the table to 56. DIVISION, by means of logarithms, is performed by subtracting the logarithm of the divisor from the logarithm of the dividend, and the remainder will be the logarithm of the quotient. Divide 56 by 4. Logarithm of 56 = 1-748188... | |
 | William John Macquorn Rankine - Engineering - 1866 - 356 pages
...to the logarithm of the root multiplied by the index of the power. 31. The logarithm of a quotient is found by subtracting the logarithm of the divisor from the logarithm of the dividend. 32. The logarithm of a root is found by dividing the logarithm of one of its powers by the index of... | |
 | William John Macquorn Rankine, Edward Fisher Bamber - Mechanical engineering - 1873 - 368 pages
...to the logarithm of the root multiplied by the index of the power. 13. The logarithm of a quotient is found by subtracting the logarithm of the divisor from the logarithm of the dividend. 14. The logarithm of a root is found by dividing the logarithm, of one of its powers by the index of... | |
 | William John Macquorn Rankine, Edward Fisher Bamber - Mechanical engineering - 1873 - 332 pages
...to the logarithm of the root multiplied by the index of the power. 13. The logarithm of a quotient is found by subtracting the logarithm of the divisor from the logarithm of the dividend. 14. The logarithm of a root is found by dividing the logarithm of one of its powers by the index of... | |
 | Robert Potts - Arithmetic - 1876 - 392 pages
...яl"g„w2 by def. Then ^i и, Or, tho logarithm of a quotient, is equal to the difference arising from subtracting the logarithm of the divisor from the logarithm of the dividend. Or, the logarithm of any fraction is equal to the logarithm of its reciprocal taken negatively. ' 4.... | |
 | Robert Potts - Arithmetic - 1876 - 389 pages
...= ß lo s« w -2 by def. Or, the logarithm of a quotient, is equal to the difference arising' from subtracting the logarithm of the divisor from the logarithm of the dividend. Or, the logarithm of any fraction is equal to the logarithm of its reciprocal taken negatively. 1 4.... | |
 | Benjamin Greenleaf - Algebra - 1879 - 376 pages
...1. Divide 40.32 by 22.4. log of 40.32 = 1.6055. log of 22.4 = 1.3502. 0.2553, whose number is 1.8. Subtracting the logarithm of the divisor from the logarithm of the dividend (Art. 359), we have the logarithm of the quotient, 0.2553, whose corresponding number is 1.8. RULE.... | |
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