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Books Books 1 - 10 of 25 on Y, and x+y is the sum of their logarithms; from which it follows that the sum of....  
" Y, and x+y is the sum of their logarithms; from which it follows that the sum of the logarithms of two numbers is equal to the logarithm of their product. Hence, To multiply two or more numbers by using logarithms: Rule. "
Principles of the differential and integral calculus: familiarly illustrated ... - Page 93
by William Ritchie - 1836 - 174 pages
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Sir Isaac Newton's Two Treatises: Of the Quadrature of Curves and Analysis ...

Sir Isaac Newton - Calculus - 1745 - 479 pages
...the Logarithm of the compounded Ratio, and the reft eafily follows. Whence it follows that the Sum of the Logarithms of two Numbers is equal to the Logarithm of their Product, and the Difference of the Logarithms of two Numbers is the Logarithm of their Quotient,...
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Elements of algebra for the use of students in universities: to which is ...

William Trail - Mathematics - 1796 - 311 pages
...the fum of the logarithms of • b and f, is therefore, by the definition, the logarithm of 4f- ,' , 4. The difference of the logarithms of two numbers is equal to the logarithm of their quotient For, if am-='b, and a"=c, f_=— , that is, am— "—— • m — n^ or the a" cc...
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Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Volume 13

Encyclopedias and dictionaries - 1816
...logarithms,^ X log. io = log. i'7i8»8i8, § 41 : Hence log, io XA = . XA is the logarithm of-; that is, the difference of the logarithms of two numbers is equal to the logarithm of their quotient. If we refume the equation r * =sa,vre have 1 A ' } I r —a*, therefore n A is the...
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A Theoretical and Practical Arithmetic: In which the Principles of that ...

Etienne Bézout, François Peyrard, Noble Heath - Arithmetic - 1825 - 236 pages
...of the logarithm of a number shows in what decade this number is comprised, number 222. 91. The sum of the logarithms of two numbers is equal to the logarithm of their product, number 227. 92. The logarithm of any power of a number is equal to the logarithm of...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...equal to the logarithms of the product of these numbers ; 2d. The difference of the logarithms of tw о numbers is equal to the logarithm of the quotient of these numbers ; 3d. The logarithm of any power of a number is equal lo the logarithm of the root multiplied by the...
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The London encyclopaedia, or, Universal dictionary of science, art ...

Thomas Curtis (of Grove house sch, Islington)
...table opposite to that logarithm which is the sum of the logarithms of ihe numbers. Again, because the difference of the logarithms of two numbers is equal to the logarithm of tlie quotient arising from the division of the one number by the other, § 4, that quotient will be...
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A New Introduction to the Science of Algebra...

Silas Totten - Algebra - 1836 - 304 pages
...subtracting the exponent x from x, we have, а'-" =У or1.yl.y' =1Д; У У from which we see, that the difference of the logarithms of two numbers, is equal to the logarithm of their quotient. Hence, division is performed in logarithms by subtracting the logarithm of the divisor...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - Mathematics - 1837 - 390 pages
...logarithms, which are called logarithmic sines, tangents, &c.* By the nature of logarithms, the sum of the logarithms of two numbers is equal to the logarithm of their product; and, conversely, if the logarithm of one number be taken from the logarithm of another,...
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The first six and the eleventh and twelfth books of Euclid's Elements; with ...

Euclides - Mathematics - 1845
...logarithms, which are called logarithmic sines, tangents, &c.* By the nature of logarithms, the sum of the logarithms of two numbers is equal to the logarithm of their product ; and, conTersely, if the logarithm of one number be taken from the logarithm of another,...
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Ray's Algebra: Designed for High Schools and Colleges. An analytical ..., Part 2

Joseph Ray - Algebra - 1852 - 396 pages
...logarithms, x-\-x', the exponent of a, is the logarithm of NN' ; hence, we have PROPERTY I. — The sum of the logarithms of two numbers is equal to the logarithm of their product. It may be shown similarly that the sum of the logarithms of three or more factors, is...
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