| William Freeland - Algebra - 1895 - 328 pages
...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, and log ar = px = log axp... | |
| George Washington Hull - Algebra - 1895 - 360 pages
...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 x and ,i/ their logarithms.... | |
| Andrew Wheeler Phillips, Wendell Melville Strong - Trigonometry - 1898 - 376 pages
...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 The logarithm of the power... | |
| Daniel Alexander Murray - Plane trigonometry - 1899 - 226 pages
...the product of any number of factors is equal to the sum of the logarithms of the factors. (2) Tlie **logarithm of the quotient of two numbers is equal to the logarithm of the** numerator diminished by the logarithm of the denominator. (4) The logarithm of the rth root of a number... | |
| Pitt Durfee - Plane trigonometry - 1900 - 340 pages
...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, ink = 10*'*, or log mk =... | |
| William James Milne - Algebra - 1901 - 444 pages
...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) = log m — log n. The above... | |
| Ernest Smith Awmack Robson - Heat - 1902 - 214 pages
...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... | |
| Arthur Schultze - Algebra - 1905 - 694 pages
...log 3 + log 5. log (afee) = log a 4- log (be) = log a + log 6 + log c. 7. The logarithm of a quotient **is equal to the logarithm of the dividend diminished by the logarithm of the divisor.** Ie if logb m = x, and log, n = y, (1) then logb^ = xy. (2) This really means (§ 2) : If m = Ъ' and... | |
| Daniel Alexander Murray - 1906 - 472 pages
...logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors. (2) **The logarithm of the quotient of two numbers is equal to the logarithm of the** numerator diminished by the logarithm of the denominator. (4) The logarithm of the rth root of a number... | |
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