 | Bourdon (M., Louis Pierre Marie) - 1858 - 262 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... | |
 | Charles William Hackley - 1864 - 532 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... | |
 | John Walmsley - 1865 - 232 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.... | |
 | James Pryde - 1867 - 506 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... | |
 | Joseph Ficklin - 1874 - 446 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... | |
 | Robert Potts - 1876 - 392 σελίδες
...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... | |
 | Robert Potts - 1876 - 389 σελίδες
...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... | |
 | Webster Wells - 1878 - 124 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... | |
 | Webster Wells - 1879 - 468 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... | |
 | John Charles Snowball - 1880 - 256 σελίδες
...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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The logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors. 
