Libros Libros The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. Binomial Theorem and Logarithms: For the Use of the Midshipmen at the Naval ... - Página 50
por William Chauvenet - 1843 - 92 páginas
Vista completa - Acerca de este libro ## Elements of Geometry, Conic Sections, and Plane Trigonometry

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...
Vista completa - Acerca de este libro ## Mathematical tables for trigonometrical, astronomical, and nautical ...

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...
Vista completa - Acerca de este libro ## A Treatise on Plane Trigonometry, Containing an Account of Hyperbolic ...

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...
Vista completa - Acerca de este libro ## A Complete Algebra: For High Schools, Academies and Normal Schools

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...
Vista completa - Acerca de este libro ## Algebra for Schools and Colleges

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,...
Vista completa - Acerca de este libro ## Elements of Trigonometry: Plane and Spherical

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...
Vista completa - Acerca de este libro ## The Elements of Plane Trigonometry

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,...
Vista completa - Acerca de este libro 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) =...
Vista completa - Acerca de este libro ## Practical Exercises in Heat: Being a Laboratory Course for Schools of ...

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 — - — =...
Vista completa - Acerca de este libro ## The New International Encyclopaedia, Volumen12

...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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