 | Aaron Schuyler - 1875 - 284 páginas
...75831.667. 5. Find the product of 85, .097, and .125. Ans. 1.03062. DIVISION BY LOGARITHMS. 16. Proposition. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. Г (1) b" = m; then, by def., log m =... | |
 | 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 - 568 páginas
...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 - 300 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... | |
 | 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,... | |
 | George Washington Hull - 1895 - 358 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... | |
 | Andrew Wheeler Phillips, Wendell Melville Strong - 1898 - 362 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
...two 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 - 476 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 - 212 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 — - — = log 2i4.6-log0.oo4i 2.3316-... | |
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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. 
