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" N .-. by definition, x — x" is the logarithm of ^ ; that is to say, The logarithm of a fraction, or of the quotient of two numbers, is equal to the logarithm of the numerator minus the logarithm of the denominator. III. Raise both members of equation... "
Higher Geometry and Trigonometry: Being the Third Part of a Series on ... - Page 81
by Nathan Scholfield - 1845 - 232 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 - 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 - 166 pages
...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 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 Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...hence it would have been more exact lo have added the former number. The logarithm of a vulgar fraction is equal to the logarithm of the numerator, minus the logarithm of the denoroinator. The logarithm of a decimal fraction is found, by considering it as a whole number, and...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1837 - 359 pages
...hence it would have been more exact -o have added the former number. The logarithm of a vulgar fraction is equal to the logarithm of the numerator, minus the logarithm of the denominator. The logarithm of a decimal fraction is found, by considering it as a whole number, and then prefixing...
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Elements of Surveying: Including a Description of the Instruments and the ...

Charles Davies - Navigation - 1837 - 336 pages
...equal to the quotient obtained by dividing the numerator by the denominator, its logarithm will be equal to the logarithm of the numerator minus the logarithm of the denominator. Therefore, log yTy=log 3678— log 100 = 3.565612—2 = 1.565612 from which we see, that a mixed number...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - Surveying - 1839 - 380 pages
...equal to the quotient obtained by dividing the numerator by the denominator, its logarithm will be equal to the logarithm of the numerator minus the logarithm of the denominator. Therefore, log VW=log 3678 — log 100 = 3.565612 — 2 = 1.565612 from which we see, that a mixed...
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