 | Elias Loomis - 1877 - 458 páginas
...those numbers. Also, since powers of the same quantity are divided by subtracting their exponents, the logarithm of the quotient of two numbers is equal to the logarithm of the dividend diminished by that of the divisor. Since the logarithm of 10 is 1, if a number... | |
 | Henry Law - 1884
...or, the sum of the logarithms of m and n is the logarithm of their product. PROPOSITION N. THEOREM. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend, with the logarithm of the divisor subtracted from it. Let X and I denote... | |
 | John Casey - 1888 - 276 páginas
...Iog0». Hence logamn = logam + logan. (231) And so on for any greater number of factors. 4°. The lay of the quotient of two numbers is equal to the difference of their logs. For since the product of the divisor and quotient is equal to the dividend, the sum of their... | |
 | George Washington Hull - 1895 - 344 páginas
...6 = log (2x3) = log 2 + log 3. log 2 = 0.3010 Iog3 = 0.4771 log 6 = 0.7781, Ans. « EXAMPLES. 275. The logarithm of the quotient of two numbers is equal to the logarithm, of the dividend minus the logarithm of the divisor. Let m and n be any two numbers, and... | |
 | William Freeland - 1895 - 328 páginas
...of its factors. 394. IV. Also if m* = a, and m? = b, m*-" = -. Hence, b log - = x — y ; that is, the logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. 395. V. Again, if. m* = a, m1" = af,... | |
 | Andrew Wheeler Phillips, Wendell Melville Strong - 1898 - 376 páginas
...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 numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. Thus log»— — logam — logan. n... | |
 | Pitt Durfee - 1900 - 340 páginas
...equations above by the second, m 10* m — = — = 10x-v, or log— = x — y = log m — logn. II. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the . divisor. Kaising m = 10J; to the /,'th power,... | |
 | William James Milne - 1901 - 444 páginas
...numbers to a common base represent exponents of the same number, it follows that : 466. PRINCIPLE. — The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor; that is, To any base, log (m ч- n) =... | |
 | Ernest Smith Awmack Robson - 1902 - 187 páginas
...logarithm has a mantissa of .5150 ; .-. antilog of 1.5150 = 32.73 ; .'. 23. 12 X 1.416 = 32.73. (2) The logarithm of the quotient of two numbers is equal to the difference of the logarithms of the numerator and denominator or log a\b = log a - log b. Eg (i.) log — - — =... | |
 | Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - 1906
...calculation : ( 1 ) The logarithm of a product is equal to the sum of the logarithms of its factors. (2) The logarithm of the quotient of two numbers is equal to the logarithm of the dividend less the logarithm of the divisor. (3) The logarithm of a number affected... | |
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The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. 
