Books Books
JJ/xJV; hence, The sum of the logarithms of any two numbers is equal to the logarithm of their product.
Elements of Algebra for the Use of Students in Universities: To which is ... - Page 37
by William Trail - 1796 - 311 pages

## A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ...

Philip Ronayne - Algebra - 1717 - 408 pages
...the Logarithm of of the Product of the faid two (natural ) Numbers : And confequently the Remainder of the Logarithms of any two Numbers, is equal to the Logarithm of the Quotient of the " faid two Numbers ; as alfo twice three times, four times, &c. or one half, one...

## Trigonometry, Plane and Spherical: With the Construction and Application of ...

Thomas Simpson - Logarithms - 1748 - 77 pages
...of them ; fince one Half of the Terms will be intirely deftroyed thereby. Therefore, becaufe the Sum of the Logarithms of any two Numbers is equal to the Logarithm of the Product of thofe Numbers, (fee Article i.) it is manifeft that zx -f ^JL JT^JL &c. will truly exprefs...

## An Introduction to the Doctrine of Fluxions

John Rowe - Calculus - 1767 - 218 pages
...how a Ci/oid is generated, art. 34. note. t> a—x-\-ca> x Hyp. Log. of a = (becaufe the Difference of the Logarithms of any two numbers is equal to the Logarithm of their ._ . L . 2 Quotient,) — cxxHyp. Log. of - = the Content of the J a — x Solid ABH required. Corollary....

## Trigonometry, Plane and Spherical: With the Construction and Application of ...

Thomas Simpson - Trigonometry - 1799 - 79 pages
...either of them ; fince one half of the terms will be jntireiy deilroyed thereby. Therefore, becaufe the fum of the logarithms of any two numbers is equal to the logarithm pf the produft of thofe numbers, (jee Article I.) it is mani2A?3 fed that zx + —-+ - &c. will truly...

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

John Bonnycastle - Algebra - 1806 - 208 pages
...of them, as one half of the terms will, in that cafe, be entirely deftroyed. Since, therefore, the fum of 'the logarithms of any two numbers is equal to the logarithm of the produit of thofe numbers, it is manifeft that 2_r+ — ц -- &c. will truly exprefs the logarithm...

## Encyclopędia Britannica: or, A dictionary of arts and sciences, compiled by ...

Encyclopaedia Britannica - 1810
...logarithms of all numbers within certain limits may be applied to Amplify calcular tions : for (ince the fum of the logarithms of any two numbers is equal to the logarithm of their produit ; it follows, that as often as we have occafion to find the produit of two or more numbers,...

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

John Bonnycastle - Algebra - 1811 - 220 pages
...them, as one half of the terms will, in that case, be entirely destroyed. Since, therefore, the sum of the logarithms of any two numbers is equal to the logarithm of the product of those numbers, it is manifest that 2x + M«3 Q-r5 1 I 3.' ^— -4 , &c. will truly express...

## The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...powers of 1 + a, the numbers 3, 4 ; 5, &c. for the same reasons, will fall into the series. 6. The sum of the logarithms of any two numbers is equal to the logarithm of the riroduct of the same two nnmbm Thus if 1 + a raised to the w th power be equal to the number N,...