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Bøker Bok 110 av 103N .•. def. (2), x— x1 is the logarithm of that is to say, The logarithm of a...
" N .•. def. (2), x— x1 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 (1) to... "
An Introduction to Algebra: With Notes and Observations : Designed for the ... - Side 224
av John Bonnycastle - 1837 - 282 sider
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A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

John Bonnycastle - 1813
...a1'1' '=•-,; and by the definition of logarithms, x — x' = log. ~, or log. y- log. y = log. ^. Hence the logarithm of a fraction, or of the quotient...logarithm of the denominator. And if each member of the equation a* = y be raised to the fractional power -, we shall have a" = y" ; and consequently, as before,...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - 1824 - 516 sider
...the nature of powers, — , or a =— ,; and by the definition of logarithms, x— x'=\og. lJ ; or log. y— log. y'— Hence the logarithm of a fraction,...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 Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan - 1824 - 516 sider
...and by the definition of ay logarithms, a;— a;'=log. \- ; or log. y— log. y'= log. (*-, tr ^ ; Hence the logarithm of a fraction, or of the quotient...the logarithm of the numerator minus the logarithm «f the denominator. 508. And if each member of the equation, a*=y, m be raised to the fractional power...
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An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - 1825 - 312 sider
...definition of logarithms, laid down in the first part of this article, x— x =log.— or y log.-,— log. y— log. y'. Hence the logarithm of a fraction,...denominator. And if each member of the common equation ar=^y be raised to the fractional power denoted by — , we shall m n3 have, in that case, o"«~3:=tyn...
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An Elementary Treatise on Algebra: Theoretical and Practical ...

James Ryan - 1826 - 383 sider
...of logarithms, x — a'=log. -T~ 5 or log. 3, -log. y'= log. Hence the logarithm of a fraction, ur of the quotient arising from dividing one number by another, is equal to the logarithm oj the numerator minus the logarithm of the. denominator. • 508. And if each member of the equation,...
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The steam engine theoretically and practically displayed, by G. Birkbeck and ...

George Birkbeck - 1827
...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 - 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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An Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan - 1835 - 361 sider
...powers, — /, or IB— x' y a - ?-, ; and by the definition of logarithms, x— x'^log. y " • ' ; or Hence the logarithm of a fraction, or of the quotient...numerator minus the logarithm of the denominator. 453. And if each member of the equation, ar==y, be rais, mr m ed to the fractional power ™, we shall...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 359 sider
...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
...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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