| John Bonnycastle - Algebra - 1818 - 284 pages
...-, ; and by the definition of logarithms, < y laid down, in the first part of this article, x—x,= **log. . . Hence the logarithm of a fraction, or of...logarithm of the denominator. And if each member of the** common equation ax=y be raised to the fractional power denoted by — , we shall mm have, in that case,... | |
| John Bonnycastle - Algebra - 1818 - 326 pages
...logarithms, laid down, in the first part of this article, x— a;'= log. y_ log.-= log. y — log. y1. y' **Hence the logarithm of a fraction, or of the quotient...the logarithm of the numerator minus the logarithm** «f the denominator. And if each member of the common equation ax=y be raised to the fractional power... | |
| James Ryan - Algebra - 1824 - 550 pages
...powers, — , or a =— ,; and by the definition of logarithms, x— x'=\og. lJ ; or log. y— log. y'— **Hence the logarithm of a fraction, or of the quotient...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... | |
| James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...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... | |
| John Bonnycastle - Algebra - 1825 - 336 pages
...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, or of the quotient...logarithm of the 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... | |
| James Ryan - Algebra - 1826 - 430 pages
...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,... | |
| 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 -... | |
| John Bonnycastle - Algebra - 1829 - 372 pages
...logarithms, laid down in the first part of this article, x — a:'=log.=7, or log.^=log. y — log. 3,'. **Hence the logarithm of a fraction, or of the quotient...logarithm of the denominator. And if each member of the** common equation a*—-y !je raised to the fractional power denoted by — , we shall have, mm m that... | |
| 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... | |
| John Bonnycastle - Algebra - 1834 - 330 pages
...logarithms laid y y down in the first part of this article, x— x?=\og. -„ or log. ^,=iog. i/ -log. y1. **Hence the logarithm of a fraction, or of the quotient...arising from dividing one number by another, is equal** tothe logarithm of the numerator minus the logarithm of the denominator. And if each member of the... | |
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