 | Charles Proteus Steinmetz - Mathematics - 1917 - 364 pages
...involution. 1. Powers of equal base are multiplied by adding the exponents: abXan = ab+n. Therefore, the logarithm of a product is the sum of the logarithms of the factors, thus Iog0 cXd =log0c+logad. 2. A power is raised to a power by multiplying the exponents:... | |
 | Alfred Monroe Kenyon, William Vernon Lovitt - Mathematics - 1917 - 368 pages
...therefore log;, 1=0. 2) The logarithm of the base itself is 1. For, 61 = 6, therefore log;, 6 = 1. 3) The logarithm of a product is the sum of the logarithms of the factors. For if log;, M = k and log;, N = I, then M = 6* and N = bl, MN = bk-bl = bk+l, whence... | |
 | Henry Sinclair Hall - 1918 - 382 pages
...o— = 4 = 0. a" Also, since a4* = со, the logarithm of + en is + со. 431. Logarithm of a Product. The logarithm of a product is the sum of the logarithms of its factors. Let MN be the product ; let a be the base of the system, and suppose х = log. M. y = log. N; so that... | |
 | Encyclopedias and dictionaries - 1918 - 828 pages
...old base and the logarithm of the new base to the old base. Let a1 = N, av = M, then aT*f=.VAf; hence the logarithm of a product is the sum of the logarithms of the factors. Again, (а*)* = ./У*=а** ; whence it is seen that ALGEBRA 391 the logarithm of the feth... | |
 | George Wentworth, David Eugene Smith - Arithmetic - 1919 - 268 pages
...is, the product is 497,500, certainly correct to three figures and probably correct to four figures. The logarithm of a product is the sum of the logarithms of the factors. Division by Logarithms. Divide 67.39 by 1.994, giving the result to four significant figures.... | |
 | George Wentworth - 1919 - 266 pages
...is, the product is 497,500, certainly correct to three figures and probably correct to four figures. The logarithm of a product is the sum of the logarithms of the factors. Division by Logarithms. Divide 67.39 by 1.994, giving the result to four significant figures.... | |
 | James Atkins Bullard, Arthur Kiernan - Trigonometry - 1922 - 252 pages
...to cover the product of any number of positive numbers, merely by taking them two at a time. Thus, the logarithm of a product is the sum of the logarithms of the several factors. (2) The logarithm of the quotient of two numbers is equal to the logarithm of... | |
 | Raymond Harman Ashley - Chemistry - 1923 - 296 pages
...approximate numbers and offer many advantages by virtue of possessing the following characteristics: 1. The logarithm of a product is the sum of the logarithms of the factors. 2. The logarithm of a quotient is obtained by subtracting the logarithm of the divisor... | |
 | William Edwin Breckenridge - Slide-rule - 1925 - 104 pages
...100,000. Log 100,000 is 5. Since 5 is the sum of 2 and 3, log 100,000 = 2 + 3 = log 100 + log 1,000, or The logarithm of a product is the sum of the logarithms of the multiplicand and the multiplier. Hence to multiply one number by another, add their logarithms.... | |
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The logarithm of a product is the sum of the logarithms of its factors. 
