| 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 - 418 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 - 648 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... | |
| |