| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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