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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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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...of a right-angled triangle, in which the perpendicular is 127 and the hypotenuse 325. 9. Prove that the logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers themselves. Find A, when 10 tan^ = 7 sin 15° 30'. 10. In the triangle ABC, if B = 57° 45', C = 105°...
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New Elementary Algebra

Benjamin Greenleaf - 1879
...m, ai = n. Multiplying these equations, member by member, We have, in which, x 4- y = Ioga m n. 359. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. For, assume the equations, a* = wi, ai — n, and dividing, member...
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New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - 1879 - 336 páginas
...Multiplying these equations, member by member, We have, in which in which, x -\- y = loga m n. 359. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. For, assume the equations, ax = m, a" = n, and dividing, member...
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Mathematical Formulae: For the Use of Candidates Preparing for the Army ...

R. M. Milburn - 1880 - 100 páginas
...---- ; or, the logarithm of a product is equal to the sum of the logarithms of its factors. 103. or, the logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. 104. loga m"=n loga m; n being integral or fractional. _ i j. 105....
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Elements of Algebra

George Albert Wentworth - 1881 - 380 páginas
...following general proofs to the base a should be noticed. I. The logarithm of the product of two or more numbers is equal to the sum of the logarithms of the numbers. For, let m and n be two numbers, and x and y their logarithms. Then, by the definition of a logarithm,...
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Popular scientific recreations, tr. and enlarged from 'Les récréations ...

Gaston Tissandier - 1882
...explanations are only wearying and unsatisfactory at best. The principle is, simply stated, the theorem that the logarithm of the product of two numbers is equal to the sum of their logs. The size of the dial will of course regulate the length of the calculation. The instrument...
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The Franklin Elementary Algebra

Edwin Pliny Seaver, George Augustus Walton - 1881 - 297 páginas
...Dividing, N-^-N' = b 1 -x' whence it appears (Art. 384) that x —x' is. the logarithm of N+N'. Hence The logarithm of a quotient is equal to the logarithm of the dividend less the logarithm of the divisor. 393- To find the logarithm of a power. Let N=lS. Taking the m lb...
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Logarithms

Henry Nathan Wheeler - 1882 - 43 páginas
...3 when the base is 10? Ans. 0.001. § 6. In any system the logarithm of the product of two or more numbers is equal to the sum of the logarithms of the numbers. Proof: If l = b", m = by, n = b', then is log6Z = x, Iog6m = 2/, logbn = z; now IX mxn = b* x Ъ»...
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Elementary text-book of trigonometry

Robert Hamilton Pinkerton - 1884 - 176 páginas
...calculated to 7 decimal places. 66. Properties of Logarithms. I. The logarithm of the product of two or more numbers is equal to the sum of the logarithms of the numbers. II. The logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm...
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University Algebra: Embracing a Logical Development of the Science with ...

Charles Davies - 1889 - 320 páginas
...member, we have, a*+y — mrii Whence, from the definition, x + y = Log mn . . . . ( 5.) i That is, the logarithm of the product of two numbers is equal to the sum of the logarithms of the tiw numbers. If we divide ( 3 ) by ( 4 ), member by member, wo shall have, m a*-* — -• n Whence,...
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