| Robert Potts - 1876
.... «l = <lloS««l . elogaK2 = alog«!ll +loSo«í And log„{M, . %} =log„«, + logA by def. Or, **the logarithm of the product of two numbers, is equal to the sum of** the logarithms of the numbers themselves. COR. In a similar way it may be shewn that the logj«, .... | |
| Robert Fowler Leighton - 1877 - 343 páginas
...™i ол-i nc>2 TT (0.00130106)2; 2; ' Use (000130106) arithmetical complements in dividing. 6. Prove **that the logarithm of the product of two numbers is equal to the** sxim of the logarithms of the numbers. 7. Find, by logarithms, the values of the following quantities... | |
| University of Oxford - 1879
...base 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... | |
| William Findlay Shunk - 1880 - 318 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... | |
| Gaston Tissandier - 1882
...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 depicted... | |
| Charles Davies - 1889 - 320 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... | |
| John Bascombe Lock - 1892 - 306 páginas
...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 - 309 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 —... | |
| John Bascombe Lock - 1896 - 147 páginas
...pro. duce8' log«, 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 logj m = x ; then m = bx,... | |
| Andrew Wheeler Phillips, Wendell Melville Strong - 1898 - 138 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... | |
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