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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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Complete Secondary Algebra

George Egbert Fisher - 1901
...logarithm of 2048 to the base 2 ? Since 2048 = 32-64, we have log¡ 2048 = log232 + log2 64 = 5 + 6 = 11 7. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor; or, Iog6 (m -s- я) = log,, m - log,, я. Let log5 m = x and logb...
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An Algebra for High Schools and Academies

Louis Parker Jocelyn - 1902 - 445 páginas
...and n = a" ; 3. and mn = ax • ay = az+v. 4. .-. loga mn = x + y = loga m + loga n. 468. Prop. 4. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. 977 Dem. Let -- be the given quotient, m being the dividend 7Î-...
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Calendar

University of Sydney - 1904
...respectively equal to a, b and c, prove that — — -^=«. ao 10. Define a logarithm and prove that the logarithm of the product of two numbers is equal to the sum of their logarithms. Find the value of = • — . (3-721)"tf Given log 8-4=-9243, log 6'72='8274, log...
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Science Examinations ... Reports, Etc

1906
...it was not often taken. C. In TRIGONOMETRY the work was on the whole fairly good. Q. 33. Explain why the logarithm of the product of two numbers is * equal to the sum of the logarithms of the numbers. By means of logarithms given below, find the fifth root, and the fifth power of 0'69889 correct to...
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Elementary Algebra

George Albert Wentworth - 1906 - 421 páginas
...is evident that : The logarithm of a product is equal to the sum of the logarithms of the factors. The logarithm of a quotient is equal to the logarithm of the dividend less that of the divisor. The logarithm of a power of a number is equal to the logarithm of the number...
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Elementary Algebra

Frederick Howland Somerville - 1908 - 407 páginas
...(1) and (2), x = log m and y = log n. (Art. 438) Substituting in (3), log mn = log m + 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), jg = m....
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College Algebra

William Henry Metzler, Edward Drake Roe, Warren Gardner Bullard - 1908 - 341 páginas
...sum of the logarithms of its factors. Again, Therefore, loga ( — =xy = \ogam — loga n, n that is, the logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. Thus Iog105 = Iog10 10 - log]02 = 1.0000 - 0.3010 = 0.6970. Raising...
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An Algebra for Secondary Schools

Earle Raymond Hedrick - 1908 - 421 páginas
...logarithm of a product is equal to the sum of the logarithms of the factors, for 10ra x 10" = 10"'+n. II. The. logarithm of a quotient is equal to the logarithm of the dividend less that of the divisor, for 10m -=- 10" = 10m~". III. The logarithm of a power of a number is equal...
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College Algebra

Henry Lewis Rietz, Arthur Robert Crathorne - 1909 - 261 páginas
...: logio 255 = logi0 3 + Iogi0 5 + Iogi0 17. BASE NUMBER 04 LOGARITHM 2 10 125 3 i 2 A 3 i 32 -5 2. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. As above, let lognм = x and lognv = y, then, a* = u, ay = v, and...
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Plane and Spherical Trigonometry

Levi Leonard Conant - 1909 - 222 páginas
...numbers, and let x and y be their logarithms respectively. Then .'. log(ran) = 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. PROOF. n .-.tog 2n = log m — log n. 4. The logarithm of any power...
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