| George Washington Hull - Algebra - 1895 - 358 pages
...= 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.... | |
| Webster Wells - Trigonometry - 1896 - 236 pages
...12005. 5. log 75. 9. log 210. 13. log 686. 17. log 15876. 77. In any system, the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. Assume the equations a = m. whence f > "*1вИВв, .i a* = n > (i/ = logan. Dividing the assumed equations,... | |
| Webster Wells - Algebra - 1897 - 384 pages
...3 = .4771, log 5 = .6990, and log 7 = .8451, find: 398. In any system, the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. 2. log 35. 7. log 126. 12. log 324. 17. log 1125. 3. log 50. 8. log 196. 13. log 378. 18. log 2625.... | |
| Webster Wells - Algebra - 1897 - 422 pages
...6. log 40. 11. log 625. 16. log 686. 21. log 15876. 398. In any system, the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. Assume the equations a' = m\ <x = legam, \ ; whence, \ a? — nl ( ;j = log. н. Dividing the assumed... | |
| Andrew Wheeler Phillips, Wendell Melville Strong - Trigonometry - 1898 - 362 pages
...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... | |
| Daniel Alexander Murray - Plane trigonometry - 1899 - 350 pages
...product of any number of factors is equal to the sum of the logarithms of the factors. (2) T7(e 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 is equal... | |
| Pitt Durfee - Plane trigonometry - 1900 - 340 pages
...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... | |
| James Harrington Boyd - Algebra - 1901 - 818 pages
...+ logap. [(6)] E. g. Loge 42= loge (2x3x7) = loga2+loga3 + loga7. 6. The logarithm of aj 'ˇ-action is equal to the, logarithm of the numerator minus the logarithm of the denominator. Thus m — loga Proof. — Let — be the fraction, and suppose (1) m = a*, and (2) n = о». By ?55б... | |
| William James Milne - Algebra - 1901 - 476 pages
...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.... | |
| James Harrington Boyd - Algebra - 1901 - 812 pages
...loga/>. [(6)] E. g. Log0 42 = Iog0 (2x3x7) = loge2+loga3 + log07. 6. The logarithm of a fraction it equal to the logarithm of the numerator minus the logarithm of the denominator. Thus bga ^ = loga m — logan. Proof. — Let •- be the fraction, and suppose (1) m = a-, and (2)... | |
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