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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 ..., Volume 1

John Bonnycastle - Algebra - 1813 - 456 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 - 284 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 - 550 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 - 336 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 - 166 pages
...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 - 318 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 - 278 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

Charles Davies - Surveying - 1830 - 390 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 - 436 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 - 192 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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