 The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log  Trigonometry - Page 31by Arthur Graham Hall, Fred Goodrich Frink - 1909 - 239 pagesFull view - About this book
 | Webster Wells, Walter Wilson Hart - Algebra - 1913 - 362 pages
...-5- Ж) = log^ Ж— log, Ж Rule. — In any system, the logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. EXAMPLE 1. Given log 2 = .3010 and log 3=. 4771, find log|. SOLUTION : 1. log Í = log 8 - log 2 =... | |
 | George Wentworth, David Eugene Smith - Plane trigonometry - 1914 - 348 pages
...27.65 tan 30° 50' 30". 54. Division by Logarithms. It has been shown (§ 41) that the logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. Care must be taken that the mantissa in subtraction does not become negative (§ 45). 1. Using logarithms,... | |
 | Herbert Ellsworth Slaught - Logarithms - 1914 - 296 pages
...the definition of logarithms, a result which may be formulated as follows : II. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. The same fact may, of course, be stated in the equivalent form: the logarithm of a fraction is equal... | |
 | Ernest Julius Wilczynski - Plane trigonometry - 1914 - 296 pages
...the definition of logarithms, a result which may be formulated as follows : II. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. The same fact may, of course, be stated in the equivalent form: the logarithm of a fraction is equal... | |
 | George Wentworth - Plane trigonometry - 1914 - 348 pages
...7.21) = log 247 + log 7.21. 5. Logarithm of a Quotient. The logarithm of the quotient of two number.s is equal to the logarithm of the dividend minus the logarithm of the divisor. For if Л = 10*, then x = \ogA; and if В = 10», then y = log В. AA Therefore — =10*-», and x—... | |
 | George Wentworth, David Eugene Smith - Trigonometry - 1915 - 388 pages
...27.65 tan 30° 50' 30". 54. Division by Logarithms. It has been shown (§ 41) that the logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. Care must be taken that the mantissa in subtraction does not become negative (§ 45). 1. Using logarithms,... | |
 | Henry Lewis Rietz, Arthur Robert Crathorne, Edson Homer Taylor - Algebra - 1915 - 266 pages
...factors. Example. Iog10(79 x 642) = log,079 + log,0642. 114. Logarithm of a quotient. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. PROOF : As above, let logo« = x and logaV = y. Then ax = u, and av = v, and - = ax~v. v Hence, loga-... | |
 | Florian Cajori, Letitia Rebekah Odell - Algebra - 1916 - 238 pages
...factors. We proceed to establish two other theorems that are no less fundamental. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. The proof is similar to that of the first theorem. Let J^and ^ be any two positive numbers. Let also... | |
 | Ernest Julius Wilczynski - Algebra - 1916 - 542 pages
...Iog0 (MN) = x + y = Iog0 M + logo N, *. and this equation proves the theorem. VIII. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. PROOF. Using the same notations as in the proof of VII, we find and therefore logo — = x — y =... | |
 | Florian Cajori - 1916 - 236 pages
...factors. We proceed to establish two other theorems that are no less fundamental. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. The proof is similar to that of the first theorem. Let N and NI be any two positive numbers. Let also... | |
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