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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 - 1880 - 318 páginas
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Elementary Algebra Revised

Frederick Howland Somerville - 1913 - 447 páginas
...log m' = px. But, from (1), x = log m, (Art. 438) Hence, log m" = pQog n8). 456. The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the root. Let 10* = m. (I) Raising both members to the power indicated by-, 109=n89. l Whence, log m9 = -. (Art....
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School Algebra, Libro 2

George Albert Wentworth - 1913
...That is, 10g2 322 = 2 log2 32. 235. Logarithm of a Root. The logarithm of a root of a number equals the logarithm of the number divided by the index of the root. If ж = log .4, then Л =10*. IX Taking the rth root, Aг = 10r. \ 1 x Hence log Ar = As in § 234,...
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Academic Algebra

George Wentworth, David Eugene Smith - 1913 - 458 páginas
...=,10^*. Hence log Af = px = p log A. 321. Logarithm of a Root. The logarithm of a root of a number equals the logarithm of the number divided by the index of the root. If x = log A , then A = 10«. i Taking the г-th root, A~r = W. 1 x Hence log Ar — r r Therefore...
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Mathematics for Agricultural Students

Henry Charles Wolff - 1914 - 309 páginas
...the power of a number is equal to the logarithm of the number multiplied by the index of the power. root of a number is equal to the logarithm of the number divided by the index of the root. ILLUSTRATION : If log 2 = 0.3010, log 4 = 2 log 2 = 2 X 0.3010 = 0.6020, and log \/2 = J log 2 = JX...
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The Accountancty of Investment

Charles Ezra Sprague - 1914 - 353 páginas
...stated, and it will be observed that it is the converse of the third rule. Rule 4: The logarithm of the root of a number is equal to the logarithm of the number divided by the index of the root. As an illustration, let it be required to find the square root of 49. 49 nl 1.6902 V49~, or 49* nl...
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Plane Trigonometry and Tables

George Wentworth, David Eugene Smith - 1914 - 314 páginas
...1024 = 2-5 = 2 log, 32. That is, Iog2 322 = 2 Iog2 32. 43. Logarithm of a Root. The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the rout. Por if A = 10*, 1 X taking the rth root, A 7' = KK ix Hence loeAr = r — log Л r The propositions...
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PLANE TRIGONOMETRY WITH TABLES

CLAUDE IRWIN PALMER - 1914
...number multiplied by the exponent of the power. By (c) . (7) The logarithm of a root of a number equals the logarithm of the number divided by the index of the root. By (d). 1 The truth of the statements in Art. 1 follows from these theorems. That is, the process of...
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Surveying Manual ; a Surveying

William David Pence - 1915 - 388 páginas
...is equal to the logarithm of the number multiplied by the index 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. 5. The logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the...
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Intermediate Algebra

Herbert Ellsworth Slaught, Nels Johann Lennes - 1916 - 256 páginas
...logarithm of the dividend minus the logarithm of the divisor. (b) The logarithm of a root of a number is the logarithm of the number divided by the index of the root. That is, log? =loga-log6 and log -С/а = ^£^on NOTE. — A formula for finding cube roots of numbers...
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Plane and Spherical Trigonometry

Claude Irwin Palmer, Charles Wilbur Leigh - 1916 - 188 páginas
...number multiplied by the exponent of the power. By (c). (7) The logarithm of a root of a number equals the logarithm of the number divided by the index of the root. By (d). The truth of the statements in Art. 1 follows from these theorems. That is, the process of...
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