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Βιβλία Βιβλία 21 - 30 από 38 για The logarithm of the product of any number of factors is equal to the sum of the....
" The logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors. "
Higher Arithmetic: Designed for the Use of High Schools, Academies, and ... - Σελίδα 326
των George Roberts Perkins - 1849 - 342 σελίδες
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Bourdon's Arithmetic: Containing a Discussion of the Theory of Numbers

Bourdon (M., Louis Pierre Marie) - 1858 - 248 σελίδες
...is not prime, has at least one prime divisor other than unity. 3. The remainder of the division by 9 of the product of any number of factors, is equal to the remainder which the product of the remainders of the division of each factor by 9 gives. Prove that...

A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - 1864 - 503 σελίδες
...radicals of the second, third, or пл degree, according to the index of the root r& quired. The n"1 root of the product of any number of factors is equal to the prodve of tht tí* roots of the different factors. Or, in algebraic language, Raise each of these expressions...

Plane trigonometry and logarithms

John Walmsley - 1865 - 182 σελίδες
...base a. So that if ax = N, then x = Iog0 N ; or if x = Iog0 N, then aC =• N. 109. TJie logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors. Let there be n factors of a number, namely, N,t N3, JVS, NH....

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James Pryde - 1867 - 458 σελίδες
...05 = °í a therefore the logarithm of о = — oo ; that is, equals — infinity. 64. The logarithm of the product of any number of factors is equal to the sum of the logarithms of those factors. Let P, Q, R, S, be any quantities, and x, y, z, v, their logarithms...

The Complete Algebra: Designed for Use in Schools, Academies, and Colleges

Joseph Ficklin - 1874 - 418 σελίδες
...like manner, (abc)n = a"ô"cn, and (abc . . . ¿)я = «"¿"с" . . . ¿". . • . TJie пл power of the product of any number of factors is equal to the product of the nth powers of those factors Again, (a")8 = «nx a" = a"+" = a2", (a")s = an x a" x a" = a"+n+n...

Elementary Arithmetic: With Brief Notices of Its History, Τόμοι 1-12

Robert Potts - 1876
...that the logj«, . «, . «s . : . . } =log„«i + logA + log„Ms + . . . . Or that the logarithm of the product of any number of factors, is equal to the sum of the logarithms of the several factors. 3. PROP. To find the logarithm of the quotient of two...

ELEMENTARY ARITHMETIC, WITH BRIEF NOTICES OF ITS HISTORY

ROBERT POTTS - 1876
...that the log a {w! . w a . w a . : . . } =logA + log a « 2 + log a % + . . . . Or that the logarithm of the product of any number of^ factors,., is equal to the sum. of the logarithms of the several factors. 3. PROP. To finti the logarithm of the quotient of two...

An Elementary Treatise on Logarithms: With Tables of the Logarithms of ...

Webster Wells - 1878 - 96 σελίδες
...minus infinity. For, since er"0 = — = — = 0, — oo = loga 0. rf" 12* In any system, the logarithm of the product of any number of factors, is equal to the sum of the logarithms of those factors. Assume the equations, a* — m \ т, i, < . i } ж — loga...

University Algebra

Webster Wells - 1879 - 444 σελίδες
...a oo If the base is less than unity, the logarithm of 0 is + op . 455. In any system the logarithm of the product of any number of factors is equal to the sum of the logarithms of those factors. Assume the equations, a" — m) > •• / , .: > > (x = 1огa...

The Elements of Plane and Spherical Trigonometry: With the Construction and ...

John Charles Snowball - 1880
...logarithms of a number in the two systems whose bases are a and e, is ^ — . L» 4. The logarithm of the product of any number of factors is equal to the sum of the logarithms of the several factors. For m.».r...=aUm.a1'"t.a1»í-...=íl(1»mH""+Ur+-)...




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