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" ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. "
Elementary text-book of trigonometry - Side 90
av Robert Hamilton Pinkerton - 1884 - 176 sider
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A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

John Bonnycastle - 1813 - 428 sider
...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 - 1818 - 260 sider
...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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 7

John Mason Good - 1819
...logarithm oi the quotient is equal to the logarithm of the dividend minus that of the divisor ; or the logarithm of a fraction is equal to the logarithm of the numerator made less by that of the denominator. 10. Also, x. A -" = — 7i x. Л : for A~" '• f - n =A ni therefore...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 516 sider
...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 - 1825 - 312 sider
...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
...= 75 F;» = 91 Substituting these conditions in the above general formula, and bearing in mind that the logarithm of a fraction is equal to the logarithm...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 - 1830 - 264 sider
...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 - 1836 - 359 sider
...56 ; 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 - 1837 - 329 sider
...56 ; 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 ...

1837 - 249 sider
...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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