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" 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 ... - 93. lappuse
autors: William Ritchie - 1836 - 174 lapas
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Sir Isaac Newton's Two Treatises: Of the Quadrature of Curves and Analysis ...

Isaac Newton - 1745 - 479 lapas
...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 - 1796 - 311 lapas
...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 ..., 13. sējums

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 ...

Bézout - 1825 - 236 lapas
...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 - 1825 - 372 lapas
...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 ..., 13. sējums,1. daļa

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 - 1836 - 304 lapas
...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, James Thomson - 1837 - 390 lapas
...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 ...

Euclid, James Thomson - 1845 - 352 lapas
...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 Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - 1852 - 396 lapas
...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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