 | Webster Wells - Algebra - 1908 - 456 pages
...2646. 3. log 84. 6. log 392. 9. log 1372. 12. log 24696. 88. 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 } v. Í x = log* m> ; whence, a" = n } [y = iogan. Dividing the assumed... | |
 | Edward Rutledge Robbins - Logarithms - 1909 - 184 pages
...of log). . •. log M • N = log M + log N (substitution). 89. THEOREM. The logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. Given: The fraction — • To Prove: log — = log .if— log N. NN Proof : Suppose 10* = M] flog... | |
 | Edward Vermilye Huntington - Logarithms - 1912 - 32 pages
...logarithm of the first factor plus the logarithm of the second factor; (2) The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator; (3) The logarithm of the nth power of a number is equal to n times the logarithm of the number; (4)... | |
 | Ernest Julius Wilczynski - Plane trigonometry - 1914 - 296 pages
...divisor. The same fact may, of course, be stated in the equivalent form: the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. According to the third index law (Art. 17, equation (3)), we have '° Therefore, we find from (1) M"... | |
 | Herbert Ellsworth Slaught - Logarithms - 1914 - 400 pages
...divisor. The same fact may, of course, be stated in the equivalent form: the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. According to the third index law (Art. 17, equation (3)), we have Therefore, we find from (1) M» =... | |
 | William David Pence - 1915 - 416 pages
...equal to the logarithm of the number divided by the index of the root. 5. The logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. 6. In dividing modified logarithms add a number to the positive and negative characteristics so that... | |
 | William David Pence, Milo Smith Ketchum - Surveying - 1915 - 418 pages
...equal to the logarithm of the number divided by the index of the root. 5. The logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. 6. In dividing modified logarithms add a number to the positive and negative characteristics so that... | |
 | James Atkins Bullard, Arthur Kiernan - Trigonometry - 1922 - 252 pages
...the sum of the logarithms of the several factors. (2) The logarithm of the quotient of two numbers is equal to the logarithm of the numerator minus the logarithm of the denominator. Let us use the same numbers as in the previous demonstration. (3) The logarithm of a number affected... | |
 | Samuel Edward Dibble - Plumbing - 1922 - 650 pages
...two or more numbers equals the sum of the logarithms of the numbers. 2. The logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. 3. The logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent... | |
 | William Moses Feldman - Biology - 1923 - 454 pages
...2-2061 - 1-2614 = -9447 = log 8-805 x = 8-805. Explanation. — (i.) The logarithm of the fraction is equal to the logarithm of the numerator minus the logarithm of the denominator (rule (ii.) ). (ii.) The logarithm of the numerator is equal to the sum of the logarithms of its separate... | |
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N .•. def. (2), x— x1 is the logarithm of that is to say, The logarithm of a fraction, or of the quotient of two numbers, is equal to the logarithm of the numerator minus the logarithm of the denominator. III. Raise both members of equation (1) to... 
