 | Thomas Jephson - 1826 - Liczba stron: 472
...\ « / 'Va/ series. Hence /. 10 = '9 + -'- x ('9)2 4- fx ('9)3 + &c. = 2-302585093, £c. 23. ÏVze logarithm of the product of two numbers is equal to...the sum of their logarithms, and the logarithm of the quotient is equal to the difference of their logarithms. Letj/ = a1 and «/ — a*, therefore «/•«/'... | |
 | Andrew Bell (writer on mathematics.) - 1839 - Liczba stron: 500
...2* = 16, ... in this system 2 = 14, 3 = 18, 4 = 116. . GENERAI, PROPERTIES OF LOGARITHMS. (501.) 1 The logarithm of the product of two numbers is equal to the sum of the logarithms of these numbers.1 For let aх = y, and aх, .= y', then for the base a, x = ly, and... | |
 | Joseph Allen Galbraith - 1852 - Liczba stron: 84
...10m. If we multiply these, NX M= 1o**™; therefore, log NX M—n + m = log N + log if. PROPOSITION I. The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. If we divide the former of these equations by the latter N__ therefore... | |
 | University of Sydney - 1853 - Liczba stron: 810
...or (J) a lava ; or (<•) hypabyssal ; or (rf) plutonic ? MATHEMATICS I. FIRST PAPER. 1. Explain why the logarithm of the product of two numbers is equal to the sum of the logarithms of the two numbers. Find 1 he cube root of 1002-5 and the fifth power of 1-025, using... | |
 | 1855 - Liczba stron: 264
...the Earth and its dimensions. 3. Th« annual motion of the Earth. LOGARITHMIC ARITHMETIc. SECT. I.— 1. Define a logarithm; and show that the logarithm...its number of integers. 3. One person out of 46 is s;iid to die every year in England, and one out of 31 to be born ; if there were no emigration, in... | |
 | Charles Davies - 1857 - Liczba stron: 408
...since a is the base of the system, we have from the definition, x' + x" = log (Nt x N") ; that is, The logarithm of the product of two numbers is .equal to the turn of their logarithms. 231. If we divide equation (1) by equation (2), member by member, we have,... | |
 | Joseph Allen Galbraith - 1860 - Liczba stron: 288
...which the rules for using logarithmic tal1ies in numerical computations are derived. PROPOSITI°N I. The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. If the numbers be N and M, let n = log N, and m = log M to any base... | |
 | Joseph Allen Galbraith, Samuel Haughton - 1860 - Liczba stron: 310
...which the rules for using logarithmic tables in numerical computations are derived. PROPOSITION I. t'he logarithm of the product of two numbers is equal to the sum of e logarithms of the numbers. If the numbers be N and M, let n = log N, and m = log Л/ to any ise a,... | |
 | Charles Davies - 1860 - Liczba stron: 412
...since a is the base of the system, we have from the definition, 3/ + x" = log (N' x N") ; that is, The logarithm of the product of two numbers is equal to the tum of their logarithms. 231 • If we divide equation (1) by equation (2), member by member, we have,... | |
 | Thomas Percy Hudson - 1862 - Liczba stron: 202
...is called the logarithm of N with reference to a, or, as it is usually expressed, to the base a. 2. The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. Let a be the base, M, N the numbers, and x and y their logarithms respectively... | |
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The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. 
