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The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. log» MN = log» M + log
The Field Engineer: A Handy Book of Practice in the Survey, Location, and ... - Página 2
por William Findlay Shunk - 1908 - 345 páginas
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## Plane Trigonometry

Levi Leonard Conant - 1909 - 183 páginas
...their logarithms respectively. Then mn= 10* -10"= 10X+V. •'• log(wm) = x + y = log m + log n. 3. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. .'. log ~ — x — y — log m — log n. n 4. The logarithm of...
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## Elements of Applied Mathematics

Herbert E. Cobb - 1911 - 274 páginas
...logarithms of the factors. II. log | = log 3 -log 2. 3 -f- 2 = 10°-4m -=- 10°-801° = 10°-1761 = 1.5. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. III. log 2s = 3 log 2. 2» _ (100.8010)8 _ 1Q0.9080 _ g The logarithm...
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## Elementary Algebra Revised

Frederick Howland Somerville - 1913 - 447 páginas
...(1) and (2), x = log m and y = log n. (Art. 438) Substituting in (3), log inn = logm + log n. 454. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. Let 10* = m (1) and 10* = n. (2) Dividing (1) by (2), |£ = ~ That...
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## Plane Trigonometry and Tables

George Wentworth - 1914 - 314 páginas
...log 0.0001 = 0. 48. log 10,000 - log 1000 + log 100,000 - log 100 = 4. 40. Logarithm of a Product. The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. Let A and В be the numbers, and x and y their logarithms. Then, taking 10 as the base and remembering...
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## Elementary Mathematical Analysis: A Text Book for First Year College Students

Charles Sumner Slichter - 1914 - 490 páginas
...by definition of a logarithm §132: loga nr = x + y or, by (1) loga nr = Iog0 n + loga r (3) Hence, the logarithm of the product of two numbers is equal to the sum of the logarithms of those numbers. In the same way, if log,, s =z , then: nrs = aI+"+* that is, loga nrs = loga n + logo...
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## Plane Trigonometry and Applications

Ernest Julius Wilczynski - 1914 - 265 páginas
...(2)). Therefore, by 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:...
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## Logarithmic and Trigonometric Tables

Herbert Ellsworth Slaught - 1914 - 97 páginas
...definition of logarithms, 10go = X ~ У = 10g" M~ 10g° Д 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:...
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## Plane Trigonometry and Tables

George Wentworth, David Eugene Smith - 1914 - 292 páginas
...30" = 0.5971, find 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...
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## School Algebra: First-[second] Course

...any number of 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...
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## Plane and Spherical Trigonometry

George Wentworth, David Eugene Smith - 1915 - 230 páginas
...log 0.0001 = 0. 48. log 10,000 - log 1000 + log 100,000 - log 100 = 4. 40. Logarithm of a Product. The logarithm of the product of two numbers is equal to the к«т of the logaritJinis of the numbers. Let A and В be the numbers, and x and y their logarithms....
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