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" The logarithm of the quotient of two positive numbers is found by subtracting the logarithm of the divisor from the logarithm of the dividend. (6) The logarithm of a power of a positive number is found by multiplying the logarithm of the number by the... "
Elementary Practical Mathematics - Page 149
by Frank Castle - 1899 - 404 pages
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A New Introduction to the Science of Algebra ...

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....
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Crocker's Elements of land surveying. To which are added, Tables of six ...

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...
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Intuitive Calculations: The Most Concise Methods Ever Published, Designed ...

Daniel O'Gorman - Ready-reckoners - 1856 - 186 pages
...of 100 = 2 Log. of 32 = 5 Sum. Log. of 100,000 = 5 Sum. Division is performed by the subtraction of the Logarithm of the divisor from the Logarithm of the dividend, the remainder is the Logarithm of the quotient. EXAMPLE. 3.— Divide 64 by 8? Log. of 64=6 Log. of 8=3...
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Intuitive calculations; the readiest and most concise methods

Daniel O'Gorman - 1858 - 248 pages
...100? Log. of 1000 = 3 Log. of 100=2 Log. of 100,000=5 Sum. Division is performed by the subtraction of the Logarithm of the divisor from the Logarithm of the dividend, the remainder is the Logarithm of the quotient. EXAMPLE. 3.— Divide 64 by 8 ? Log. of 64 = 6 Log. of...
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A practical treatise on mining, land and railway surveying ..., Volume 35

Henry Davis Hoskold - 1863 - 308 pages
...=1.9532763 „ . „ the produce, 15930.1234=4.2022495 , Division by Logarithms. Rule. — Subtract the logarithm of the divisor from the logarithm of the dividend, the remainder is the logarithm of the quotient. Example 1.— Divide 6854.3 by 422. Logarithm of 6854.3...
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Useful Rules and Tables Relating to Mensuration, Engineering, Structures ...

William John Macquorn Rankine - Engineering - 1866 - 342 pages
...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...
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A Mechanical Text-book: Or, Introduction to the Study of Mechanics and ...

William John Macquorn Rankine - Mechanical engineering - 1873 - 356 pages
...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...
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A Mechanical Text-book: Or, Introduction to the Study of Mechanics and ...

William John Macquorn Rankine, Edward Fisher Bamber - Mechanical engineering - 1873 - 368 pages
...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...
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Elementary Arithmetic: With Brief Notices of Its History, Volumes 1-12

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....
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Elementary Arithmetic: With Brief Notices of Its History, Volumes 1-12

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....
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