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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... "
Chemical Calculations - Página 9
por Raymond Harman Ashley - 1923 - 276 páginas
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Logarithmick Arithmetick: Containing a New and Correct Table of Logarithms ...

1818 - 264 páginas
...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...
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An Analytical Treatise on Plane and Spherical Trigonometry, and the Analysis ...

Dionysius Lardner - 1828 - 434 páginas
...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...
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A New Introduction to the Science of Algebra ...

Silas Totten - 1836 - 320 páginas
...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 páginas
...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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Useful Rules and Tables Relating to Mensuration, Engineering, Structures ...

William John Macquorn Rankine - 1866 - 342 páginas
...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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Elements of Trigonometry, Plane and Spherical

Lefébure de Fourcy (M., Louis Etienne) - 1868 - 350 páginas
...by member, we have a1~* = y-: : hence a; — a;' = log (^Л or, log у — log y' = log ^ j That is, the logarithm of a quotient is obtained by subtracting the logarithm of the divisor from that of the dividend. 11. If all the numbers y, >/, y", &c. be equal in equation (2), and there be...
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A Mechanical Text-book: Or, Introduction to the Study of Mechanics and ...

William John Macquorn Rankine, Edward Fisher Bamber - 1873 - 368 páginas
...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 - 1873 - 356 páginas
...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, Volúmenes1-12

Robert Potts - 1876 - 389 páginas
...= 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, Volúmenes1-12

Robert Potts - 1876 - 392 páginas
...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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