 | University of Oxford - 1879 - 414 páginas
...of a right-angled triangle, in which the perpendicular is 127 and the hypotenuse 325. 9. Prove that the logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers themselves. Find A, when 10 tan^ = 7 sin 15° 30'. 10. In the triangle ABC, if B = 57° 45', C = 105°... | |
 | William Findlay Shunk - 1880 - 362 páginas
...lies between 10 and 100; hence its logarithm lies between 1 and 2, as docs the logarithm of 74. 5. The logarithm of the product 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.... | |
 | George Albert Wentworth - 1881 - 406 páginas
...following general proofs to the base a should be noticed. I. The logarithm of the product of two or more numbers is equal to the sum of the logarithms of the numbers. For, let m and n be two numbers, and x and y their logarithms. Then, by the definition of a logarithm,... | |
 | 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»... | |
 | Gaston Tissandier - 1883 - 802 páginas
[ Lo sentimos, el contenido de esta página está restringido. ] | |
 | 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.... | |
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The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. 
