 | Edward Albert Bowser - 1888 - 868 páginas
...infinity. For a'" = — = - =0; therefore logO = — oo. a" QO Also, the logarithm of + oo is + oc. (4) The logarithm of a product is equal to the sum of the logarithms of its factors. For let mn be the product ; let a be the base of the system, and suppose x = log m, y = log n. Then... | |
 | Carl Bruhns - 1889 - 660 páginas
...= log A "f log В log ~ = log A — log В log Am = m log A log ГА = i log A, or at full length: the logarithm of a product is equal to the sum of the logarithms of the factors; the logarithm of a quotient is equal to the difference of the logarithms of the Dividend... | |
 | Webster Wells - 1889 - 584 páginas
...and increases without limit in absolute value. LOGARITHMS. 406. In any system, the logarithm of и product is equal to the sum of the logarithms of its factors. Assume the equations a1 = m \ a"= n ) ; whence, by Art. 395 fx= logam, ' (y = logan. Multiplying, we... | |
 | Webster Wells - 1890 - 604 páginas
...the logarithm of zero is Infinity. For if a is < 1, a" = 0 ; whence, log.,0 = <x. 498. In any system, the logarithm of a product is equal to the sum of the logarithms of its factors. Assume the equations a" = mi ; whence by Art. 488, { * = lo^m' a1 = n ) (y = \ogan. Multiplying, a"... | |
 | Walter William Rouse Ball - 1890 - 512 páginas
...8. Iog.ol1000. 59. 12. 15. 18. Iog6 125. log.O. logl44T7W log.., -027. 255. Logarithm of a Product. The logarithm of a product is equal to the sum of the logarithms of its factors. Let m and n be factors of the product. Let m = ax, .'. x = loga m ; and let n = a", .'. y = loga n.... | |
 | Webster Wells - 1890 - 560 páginas
...the logarithm of zero in infinity . For ,fa is < 1, a* = 0; whence, log.0 = ao. 498. In any system, the logarithm of a product is equal to the sum of the logarithms of Us factors. Assume the equations a' = m \ ; whence by Art. 488, jx = ****1 a2 = n ) iy = log.n. Multiplying,... | |
 | George Albert Wentworth - 1891 - 380 páginas
...logarithms of its factors. For AXБ = 10° X 10s = Therefore, log (AX Б) = a + b = log A + log Б. 383. The logarithm of a quotient is found by subtracting...logarithm of the divisor from that of the dividend. Therefore, 384. The logarithm of a power of a number is found by multiplying the logarithm of the number... | |
 | George Albert Wentworth - 1891 - 550 páginas
...logarithms of its factors. For AxB = 10" X 10s = 10-+'. Therefore, log ( AXB) = a + b = log A + log B. 348. The logarithm of a quotient is found by subtracting...logarithm of the divisor from that of the dividend. е-Щ-^Therefore, log^=a — b = logA- log B. В 349. The logarithm of a power is found by multiplying... | |
 | William Joseph Hussey - 1891 - 178 páginas
...operations of addition, subtraction, multiplication and division. 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 tJte logarithm of the... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - 1891 - 606 páginas
...that is, logB(JP) i Similarly, loga (M') / 207. It follows from the results we have proved that (1) the logarithm of a product is equal to the sum of the logarithms of its factors ; (2) the logarithm of a fraction is equal to the logarithm of the numerator diminished by the logarithm... | |
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The logarithm of a product is equal to the sum of the logarithms of its factors. 
