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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...
A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ... - Page 360
by John Bonnycastle - 1813 - 428 pages

## An Introduction to Algebra: With Notes and Observations : Designed for the ...

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,...

## An Introduction to Algebra: With Notes and Observations : Designed for the ...

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...

## An Elementary Treatise on Algebra: Theoretical and Practical

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...

## An Elementary Treatise on Algebra: Theoretical and Practical

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...

## An Introduction to Algebra: With Notes and Observations, Designed for the ...

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...

## An Elementary Treatise on Algebra: Theoretical and Practical ...

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,...

## 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 -...

## An Introduction to Algebra, with Notes and Observations: Designed for the ...

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...