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" ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. "
Elements of Geometry and Trigonometry - Page 232
by Adrien Marie Legendre - 1837 - 359 pages
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A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

John Bonnycastle - Algebra - 1813 - 428 pages
...Hence the logarithm of a fraction, or of the quotient arising from dividing one number by another, is equal to the logarithm of the numerator minus the logarithm of the denominator. And if each member of the equation a* = y be raised to the fractional power -, we shall have a" = y"...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 260 pages
...Hence the logarithm of a fraction, or of the quotient arising from dividing one number by another, is equal to the logarithm of the numerator minus, the logarithm of the denominator. And if each member of the common equation ax=y be raised to the fractional power denoted by — , we...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 516 pages
...Hence the logarithm of a fraction, or of the quotient arising from dividing one number by another, is equal to the logarithm of the numerator minus the logarithm of the denominator. 508. And if each member of the equation, ax=y. m be raised to the fractional power , we shall have...
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An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - Algebra - 1825 - 312 pages
...Hence the logarithm of a fraction, or of the quotient arising from dividing one number by another, is equal to the logarithm of the numerator minus the logarithm of the denominator. And if each member of the common equation ar=^y be raised to the fractional power denoted by — ,...
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The steam engine theoretically and practically displayed, by G. Birkbeck and ...

George Birkbeck - 1827
...Substituting these conditions in the above general formula, and bearing in mind that the logarithm of a fraction is equal to the logarithm of the numerator, minus the logarithm of the denominator, we shall have the three following equations of conditions : - 0 4259687 = 25 o + 635 b + 15625 c -...
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Elements of Surveying: With the Necessary Tables

Charles Davies - Surveying - 1830 - 300 pages
...number of ciphers between the decimal point and the first significant place of figures ; therefore, the logarithm of a decimal fraction is found, by considering it as a whole number, and then prefixing to its logarithm a negative characteristic, greater by unity than the number of ciphers between the decimal...
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Elements of Algebra

William Smyth - Algebra - 1830 - 264 pages
...therefore by adding the logarithm of 5 to that of 7. Since moreover the logarithm of a fraction will be equal to the logarithm of the numerator minus the logarithm of the denominator, it will be sufficient to place in the tables the logarithms of entire numbers. 216. If in the equation...
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Elements of Surveying: With the Necessary Tables

Charles Davies - Surveying - 1830 - 300 pages
...number of ciphers between the decimal point and the first significant place of figures ; therefore, the logarithm of a decimal fraction is found, by considering it as aw/ioL number, and then prefixing to its logarithm a negative characteristic, greater by unity than...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1833 - 348 pages
...number of ciphers between the decimal point and the first significant place of figures ; therefore, the logarithm of a decimal fraction is found, by considering it as a whole number, and then prefixing to its logarithm a negative characteristic, greater by unity than the number of ciphers between the decimal...
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A Table of Logarithms: Of Logarithmic Sines, and a Traverse Table

Logarithms - 1836 - 177 pages
...number of ciphers between the decimal point and the first significant place of figures ; therefore, the logarithm of a decimal fraction is found, by considering it as a whole number, and then prefixing to its logarithm a negative characteristic, greater by vmty than the number of ciphers between the decimal...
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