| 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"... | |
| 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... | |
| John Mason Good - 1819 - 742 pages
...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... | |
| 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... | |
| 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 — ,... | |
| George Birkbeck - 1827 - 166 pages
...= 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 -... | |
| 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... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...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... | |
| Adrien Marie Legendre - Geometry - 1837 - 376 pages
...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... | |
| Charles Davies - Navigation - 1837 - 342 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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