 | Edward Albert Bowser - Logarithms - 1908 - 128 pages
...Trigonometry are тегу much abbreviated by the aid of logarithms. The rules for their use are as follows : The logarithm of a product is equal to the sum of the logarithms of its factors. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.... | |
 | Edward Albert Bowser - Logarithms - 1895 - 124 pages
...Trigonometry are very much abbreviated by the aid of logarithms. The rulee for their use are as follows : The logarithm of a product is equal to the sum of the logarithms of its factors. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.... | |
 | Edward Mann Langley - Arithmetic - 1895 - 200 pages
...theorems on which the practical rules for working with logarithms depend are аз follows : — I. The logarithm of a product is equal to the sum of the logarithms of its factors. Thus log 28 = log 4 + log 7 ; and generally log (ab) = log a + log b. II. The logarithm of a quotient... | |
 | Joe Garner Estill - 1896 - 186 pages
...hold in logarithms, and are the very principles which make logaritluns serviceable ; as follows : I. The logarithm of a product is equal to the sum of the logarithms of its factors. II. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the... | |
 | Webster Wells - Trigonometry - 1896 - 236 pages
...limit 0, its logarithm is negative, and increases without limit in absolute value. 75. In any system, the logarithm of a product is equal to the sum of the logarithms of its factors. Assume the equations a* = m) , , , n* (x = loga 'in, . ; whence by § 66, \ . ь a* = n Г ' ly = \ogan.... | |
 | Joe Garner Estill - 1896 - 214 pages
...hold in logarithms, and are the very principles which make logarithms serviceable ; as follows : I. The logarithm of a product is equal to the sum of the logarithms of its factors. II. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the... | |
 | Emerson Elbridge White - Algebra - 1896 - 418 pages
...together (1) and (2) member by member, we have a"+» = mn ; whence x + y = log mn, by definition. Hence the logarithm of a product is equal to the sum of the logarithms of the factors. 691. Dividing (1) by (2) member by member, we have whence x — y = log — fit 1 lenco... | |
 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...7.11548—10 10. 0.12345 Treatises on algebra establish the following principles concerning logarithms: 11. The logarithm of a product is equal to the sum of the logarithms of all its factors. 12. The logarithm of a quotient is equal to the logarithm of the dividend minus the... | |
 | Webster Wells - Algebra - 1897 - 426 pages
...negative, and increases without limit in absolute value. (Compare Note to § 296.) 396. In any system, the logarithm of a product is equal to the sum of the logarithms of its factors. Assume the equations , , „ 00_ a, \ ; whence by § 387, J 6« > a' = n¡' '\y=1ogan. Multiplying... | |
 | George Albert Wentworth - 1898 - 424 pages
...following logarithms : 649. Since every factor of a product may be expressed as a power of ten (§ 628), The logarithm of a product is equal to the sum of the logarithms of its factors (§ 69). 650. Example. Find by logarithms the product of 908.4 X 0.05392 X 2.117. SOLUTION. log 908.4... | |
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The logarithm of a product is equal to the sum of the logarithms of its factors. 
