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" ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. "
Elements of Geometry and Trigonometry - Page 232
by Adrien Marie Legendre - 1838 - 269 pages
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Logarithmic and Trigonometric Tables

Herbert Ellsworth Slaught - Logarithms - 1914 - 296 pages
...of the 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 (a1)" = a'". Therefore, we find from...
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Radiotelegraphy, U. S. Signal Corps

Signal Office - 1914 - 144 pages
...expression 5= log, =1 can be written d = log!I1 — logJ2, the * logarithm of the fraction being the logarithm of the numerator minus the logarithm of the denominator. The expression can also be written log, Ij — 8 = \ogc I2, in which form it is seen that as d is constant...
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Radiotelegraphy: U.S. Signal Corps, 1914

United States. Army. Signal Corps - Telegraph, Wireless - 1914 - 140 pages
...d = log s ^ can be written d = logjt — log I 2 , the •"•2 logarithm of the fraction being the logarithm of the numerator minus the logarithm of the denominator. The expression can also be written log e I t — <? = log e I 2 , in which form it is seen that as d is...
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Surveying Manual ; a Surveying

William David Pence - 1915 - 416 pages
...number is 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...
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Surveying Manual: A Manual of Field and Office Methods for the Use of ...

William David Pence, Milo Smith Ketchum - Surveying - 1915 - 388 pages
...number is 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...
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Plumbers' Handbook

Samuel Edward Dibble - Plumbing - 1922 - 629 pages
...product of 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...
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Plane and Spherical Trigonometry: With Stereographic Projections

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...
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Biomathematics

William Moses Feldman - Biology - 1923 - 454 pages
...-6646) = 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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Surveyor 1 and C

United States. Bureau of Naval Personnel - Surveying - 1955 - 396 pages
...OF A PRODUCT IS EQUAL TO THE SUM OF THE LOGARITHMS OF THE FACTORS, (2) THE LOGARITHM OF A RATIONAL FRACTION IS EQUAL TO THE LOGARITHM OF THE NUMERATOR MINUS THE LOGARITHM OF THE DENOMINATOR, and (3) THE LOGARITHM OF i is ZERO. The computation for finding the sums of the two sets of logarithms...
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Demographic Projection Techniques for Regions and Smaller Areas: A Primer

H. Craig Davis - Political Science - 1995 - 132 pages
...computing natural logarithms, or using a computer. 2. The logarithm of the quotient of two numbers is equal to the logarithm of the numerator minus the logarithm of the denominator. /n(a/6) = ln a - ln b (a, 6 > 0) (B.5) For example, ln( 10/100) = /nl0-/nl00. 3. The logarithm of a...
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