 | Gaston Tissandier - 1882 - 830 páginas
...explanations are only wearying and unsatisfactory at best. The principle is, simply stated, the theorem that the logarithm of the product of two numbers is equal to the sum of their logs. The size of the dial will of course regulate the length of the calculation. The instrument... | |
 | Henry Nathan Wheeler - 1882 - 60 páginas
...3 when the base is 10? Ans. 0.001. § 6. In any system the logarithm of the product of two or more numbers is equal to the sum of the logarithms of the numbers. Proof: If l = b", m = by, n = b', then is log6Z = x, Iog6m = 2/, logbn = z; now IX mxn = b* x Ъ»... | |
 | Robert Hamilton Pinkerton - 1884 - 194 páginas
...calculated to 7 decimal places. 66. Properties of Logarithms. I. The logarithm of the product of two or more numbers is equal to the sum of the logarithms of the numbers. II. The logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm... | |
 | Charles Davies - 1889 - 330 páginas
...member, we have, a*+y — mrii Whence, from the definition, x + y = Log mn . . . . ( 5.) i That is, the logarithm of the product of two numbers is equal to the sum of the logarithms of the tiw numbers. If we divide ( 3 ) by ( 4 ), member by member, wo shall have, m a*-* — -• n Whence,... | |
 | William Findlay Shunk - 1890 - 372 páginas
...henee its logarithm lies between 1 and 2, as does the logarithm of 74. 5. The logarithm of the produet of two numbers is equal to the sum of the logarithms of the numbers. The logarithm of a quotient is equal to the logarithm of the dividend diminished by that of the divisor.... | |
 | John Bascombe Lock - 1892 - 354 páginas
...power of 2 which is equal to 32? The use of Logarithms is based upon the following propositions : — I, The logarithm of the product of two numbers is equal to the logarithm of one of the numbers + the logarithm of the other. For, let log. m=x and log,,ra=y, then,... | |
 | William Freeland - 1895 - 328 páginas
...is > 1. 393. III. Again, if m" = a, and m' = b, we have m*+' = ab. I fence logab = x + y; that is, the logarithm of the product of two numbers is equal to the sum of the logarithms of its factors. 394. IV. Also if m* = a, and m? = b, m*-" = -. Hence, b log - = x — y ; that is, the... | |
 | John Bascombe Lock - 1896 - 244 páginas
...8. i ,_ snn о logic 100 = 2. 120. The use of logarithms is based upon the following propositions : I. The logarithm of the product of two numbers is equal to the logarithm of one of the numbers plus the logarithm of the other. For, let log, m = x ; then m = b',... | |
 | Andrew Wheeler Phillips, Wendell Melville Strong - 1898 - 362 páginas
...of the number m is the number .r which satisfies the equation, ax = 1n. This is written x = loga m. The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. Thus loga;//я = logaw + logeя. The logarithm of the quotient of two numbers is equal to the logarithm... | |
 | University of Sydney - 1904 - 680 páginas
...respectively equal to a, b and c, prove that — — -^=«. ao 10. Define a logarithm and prove that the logarithm of the product of two numbers is equal to the sum of their logarithms. Find the value of = • — . (3-721)"tf Given log 8-4=-9243, log 6'72='8274, log... | |
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The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. 
