 | Andrew Wheeler Phillips, Wendell Melville Strong - Trigonometry - 1898 - 362 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 - 476 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 - 212 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 - 674 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 - 466 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... | |
 | Arthur Schultze - Algebra - 1906 - 584 pages
...log 8 + log 5. log (abc) = log a + log (6c) = log a + log b + 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 logt m = x, and logb n = y, (1) then loSb- = ж-y. (2) This really means (§ 2) : If m = bx and... | |
 | Trinity College (Dublin, Ireland) - 1907 - 536 pages
...which connects the cosines of the angles of a plane triangle. 6. Prove that the logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor. 7. Express the sine, cosine, and tangent of half an angle of a triangle in terms of the sides. 8. If... | |
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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. 
