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" The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. "
The Field Engineer: A Handy Book of Practice in the Survey, Location, and ... - Página 4
por William Findlay Shunk - 1890 - 339 páginas
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Industrial Engineering: A Handbook of Useful Information for ..., Volumen1

William Miller Barr - 1918 - 650 páginas
....07654: The logarithm of .07654 is 2Г.883888 3 Cube, .0004484, log 4.651664 Evolution by Logarithm. — The logarithm of any root of a number is equal to the logarithm of that number divided by the index of the root. To extract the root of a number by logarithm we have...
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Introduction to the Elementary Functions

Raymond Benedict McClenon - 1918 - 264 páginas
...this law n also includes as a corollary the following : The logarithm of a root of a number equals the logarithm of the number, divided by the index of the root. 154. If we now consider the application of these laws of logarithms (taking for 'base some number >1),...
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General Mathematics, Libro 1

Raleigh Schorling, William David Reeve - 1919 - 520 páginas
...a, log va = log a = I log «, and so on. This illustrates the truth of another theorem, namely, that the logarithm of any root of a number is equal to...logarithm of the number divided by the index of the root. Thus, log V542 = i- log 542 = 2'7^40 = 1.3670. Now 1.3670 is the logarithm of 23.28 -. Therefore the...
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General Mathematics, Libro 1

Raleigh Schorling, William David Reeve - 1919 - 576 páginas
...— ^ log «, and so on. This illustrates the truth of another theorem, namely, that the lo</arithm of any root of a number is equal to the logarithm of the, number divided by the index of the root. Thus, log V542 = i log 542 = MIM = -1 .3670. If the logarithm of the number is negative, the root may...
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General Mathematics, Libro 1

Raleigh Schorling, William David Reeve - 1919 - 522 páginas
...log va = log a * = ^ log «, and so on. This illustrates the truth of another theorem, namely, that the logarithm of any root of a number is equal to the logarithm of the number divided ly the index of the root. Thus,. log VM2=i log 542 = = 1.3670. If the logarithm of the number is negative,...
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Higher arithmetic

George Wentworth - 1919 - 266 páginas
...J log 42.83 = 0.5439 = log 3.499. That is, -^42.83 = 3.499. The logarithm of a root of a number is the logarithm of the number divided by the index of the root. Exercise. Computation by Logarithms Multiply as indicated, using logarithms : 1. 26 x 35. 3. 27.6 x...
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Higher Arithmetic

George Wentworth, David Eugene Smith - 1919 - 268 páginas
...=1.6317, J log 42.83 = 0.5439 = log 3.499. That is, ^42.83 = 3.499. The logarithm of a root of a number is the logarithm of the number divided by the index of the root. Exercise. Computation by Logarithms Multiply as indicated, using logarithms : 1. 26 x 35. 3. 27.6 x...
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Plumbers' Handbook

Samuel Edward Dibble - 1922 - 648 páginas
...equal to the logarithm of the number multiplied by the exponent of the power. 4. The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the root. Example.— Find !/(2*-2 X l.ggg by logarithms log 21.2 = 1.3263 log 1.62 = 0.2095 add 1.5358 multiply...
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An Introduction to Mathematical Analysis

Frank Loxley Griffin - 1922 - 548 páginas
...times the logarithm of the number : log an = n log a (IV) The logarithm of a root of a number equals the logarithm of the number, divided by the index of the root : log ^/a = - log a. If a formal proof of these laws is desired, it can be given as in the following...
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A Second Course in Algebra, Libro 2

Edward Ira Edgerton, Perry Amherst Carpenter - 1924 - 490 páginas
...power, (10*)" = 10*" = M". Hence, log M" — xn = n • log M. The logarithm of a root of a number is the logarithm of the number divided by the index of the root, or, stated ui symbols, Log VM = 1 log M. n Proof: Let x = log M, so that 10* = M. Extracting the nth...
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