 | Thomas Jephson - 1826 - 472 sider
...\ « / '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.... | |
 | Andrew Bell (writer on mathematics.) - 1839 - 500 sider
...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 x' = ly. And aх... | |
 | Euclides - 1840 - 192 sider
...cases, which form the first four propositions of his Second Book. The first of them is as follows : The product of two numbers is equal to the sum of the products of one of them multiplied by the parts of the other. Thus, if 5 and 10 be the two numbers,... | |
 | Joseph Allen Galbraith - 1852 - 84 sider
...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 N log -=n-ra = logAT-log M.... | |
 | University of Sydney - 1853 - 810 sider
...(«) a tuff 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 your tables, and compare... | |
 | William Frederick Greenfield - 1853 - 228 sider
...the sum of the products of each part of the multiplicand and multiplier 127 PKOP. 8.— To prove that the product of two numbers is equal to the sum of the products of the multiplicand by each part, of the multiplier . 127 PROP. 9. — To prove the Rule for... | |
 | Great Britain. Committee on Education - 1855 - 976 sider
...LOGARITHMIC ARITHMETIC. (Two Hours allowed for this Paper,) Section 1. 1. Define a logarithm; and show that the logarithm of the product of two numbers is equal to the sum of their logarithms ; and the logarithm of their quotient, to the difference of their logarithms. 2. Show... | |
 | 1855 - 264 sider
...annual motion of the Earth. LOGARITHMIC ARITHMETIc. SECT. I.— 1. Define a logarithm; and show that the logarithm of the product of two numbers is equal to the sum of their logarithms, and the logarithm of their quotient to the difference of their logarithms. 2. Show... | |
 | Charles Davies - 1857 - 408 sider
...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,... | |
 | Dana Pond Colburn - 1858 - 288 sider
...8427 29. .0049 80. 73648 31. 4957.3 X 300. 32. 2796 X 8000. 50* Multiplication by Large Numbers. (a.) The product of two numbers is equal to the sum of the products obtained by multiplying one of them by the parta into which the other may be divided. (See... | |
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The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. 
