 | Earle Raymond Hedrick - Algebra - 1908 - 442 pages
...30.) From the principles of exponents (§§ 104, 135, pp. 193, 285, and p. 334), it is evident that I. The logarithm of a product is equal to the sum of the logarithms of the factors, for 10ra x 10" = 10"'+n. II. The. logarithm of a quotient is equal to the... | |
 | Webster Wells - Algebra - 1908 - 456 pages
...limit 0, its logarithm is negative, and increases indefinitely in absolute value. 87. In any system, the logarithm of a product is equal to the sum of the logarithms of its factors. Assume the equations a* = m \ Í x = loe., m, ; whence, by § 78, ëo ar... | |
 | William Henry Metzler, Edward Drake Roe, Warren Gardner Bullard - Algebra - 1908 - 370 pages
...Iog10 3 = 0.7781. Similarly, loga (mn ••• j») = loga (mn •••) + logaj» = loa TO that is, the logarithm of a product is equal to the sum of the logarithms of its factors. . . m ax , „ Again, — = — = ax y. na? Therefore, loga ( — ) = x... | |
 | Levi Leonard Conant - Trigonometry - 1909 - 320 pages
...universally employed. All computations by means of logarithms are based on the following theorems : 2. The logarithm of a product is equal to the sum of the logarithms of the factors. PROOF. Let m and n be any two positive numbers, and let x and y be their... | |
 | Levi Leonard Conant - Plane trigonometry - 1909 - 290 pages
...universally employed. All computations by means of logarithms are based on the following theorems : 2. The logarithm of a product is equal to the sum of the logarithms of the factors. PROOF. Let m and n be any two positive numbers, and let x and y be their... | |
 | Stimson Joseph Brown, Paul Capron - Algebra - 1910 - 212 pages
...since &! = & or log6 & = 1. II. The logarithm of unity (1) is zero; for &° = 1 or Iog6 1 = 0. III. The logarithm of a product is equal to the sum of the logarithms of its factors. Let m and n be the factors and x and y their logarithms; then bx = mj or... | |
 | Herbert E. Cobb - Mathematics - 1911 - 296 pages
...log(2x 3)= log 2 +log 3. 2 = 10°- 8010 , 3 = 10°- 4771 2x3 = 10 °-8010 x 10°- 4771 = 10°- 7781 = 6. The logarithm of a product is equal to the sum of the logarithms of the factors. II. log | = log 3 - log 2. 3 H- 2 = 10°-477i -f- IQO-WIO = 10"-"" = 1.5.... | |
 | Webster Wells, Walter Wilson Hart - Algebra - 1912 - 504 pages
...сР+»=МЖ .'. loga MN—x+y. (§ 283) Therefore log. MN= loga M+ log, Ж Rule. — In any system, the logarithm of a product is equal to the sum of the logarithms of its factors. SOLUTION : 1. log 72 = log 2 • 2 • 2 • 3 • 3. 2. = log 2 + log 2... | |
 | Webster Wells, Walter Wilson Hart - Algebra - 1913 - 300 pages
...or a*+s=MN. .-.logaMN=x+y. (§165) Therefore log„ MN= log„ M+ log,, N. Rule. — In any system, the logarithm of a product is equal to the sum of the logarithms of its factors. 1. 1.8079. в. 0.8744. 11. 2.5369. г. 3.3565. 7. 9.9108 10. 12. 9.702210.... | |
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The logarithm of a product is equal to the sum of the logarithms of its factors. 
