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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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Elementary Trigonometry

James Hamblin Smith - 1870 - 224 páginas
...proceed thus log 13 = 1-1139434 4 4-4557736 which is the logarithm of 28561, the number required. 147. The logarithm of any root of a number is equal to the quotient arising from the division of the logarithm of the number by the number denoting the root....
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1871 - 187 páginas
...r, of both members of (4), we have, whence, by the definition, * = log ?Jm. - . . . ( 9.) That is, the logarithm of any root of a number is equal to...logarithm of the number divided by the index of the root. The preceding principles enable us to abbreviate the oper at1ons of multiplication and division, by...
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Elements of Surveying and Levelling: With Descriptions of the Instruments ...

Charles Davies - 1871 - 431 páginas
...both members of (4), we have, 1CT = ym; whence, by the definition, I = log j/^. ...... (9.) That is, the logarithm of any root of a number, is equal to...logarithm of the number divided by the index of the root. The preceding principles enable ns to abbreviate the operations of multiplication and division of numbers,...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 58 páginas
...the seventh power of 0.8952. EVOLUTION BY LOGARITHMS. (15.) It is proved in Algebra, Art. 341, that the logarithm of any root of a number is equal to the logarithm of that number divided by the index of the root. Hence, to extract tfot -cot of a number by logarithms,...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1872 - 455 páginas
...of both members of ( 4 ), we have, • «d' = \/m ; whence, by the definition, ~ .... (9.) That is, the logarithm of any root of a number is equal to...logarithm of the number divided by the index of the root. TABLE OB LOGARITHMS. 9. A TABLE OF LOGARITHMS, is a table containing a set of numbers and their logarithms,...
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Surveying and Navigation: With a Preliminary Treatise on Trigonometry and ...

Aaron Schuyler - 1873 - 482 páginas
...Ans. 525.55. 5. Find the fifth power of .9. .Ans. .59049. EVOLUTION BY LOGARITHMS. 25. Proposition. The logarithm of any root of a number is equal to...logarithm of the number divided by the index of the root. Let (1) b• = n; then, by def., log n = x. = (2) b'r —\/n; then, by def., log V/'n = — • n 26....
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Elements of Algebra

Charles Elsee - 1873
...above proof be considered fractional ( = - J, we have also ^ = 7 1ов.». ic the logarithm of a root is equal to the logarithm of the number, divided by the index of the root. 161.— PROP. Logawi = Log,,™ x Logai. For let logb m = y, and log„ Ь = z, then m = Ъ", Ь =...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - 1874 - 455 páginas
...members of (4), we have, 10r = whence, by the definition, * = log 'Jm. ' • • • ( 9.) That is, the logarithm of any root of a number is equal to...logarithm of the number divided by the index of the root. The preceding principles enable us to abbreviate the oper ations of multiplication and division, by...
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Elements Of Geometry And Trigonometry

Charles Davies - 1874
...of both members of ( 4 ), we have, whence, by the definition, " = log^ . • • • (9.) That is, the logarithm of any root of a number is equal to the logarithm of the number divided by t/1e index of tie root. TABLE OF LOGARITHMS. 9. A TABLE OF LOGARITHMS, is a table containing a set...
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Appleton's Dictionary of Machines, Mechanics, Engine-work, and ..., Volumen2

1874
...have log. y* (or log. */ y) = — log. y ; that is to say, the logarithm of any root of a number ia equal to the logarithm of the number divided by the index of the root. From these two last results it is obvious that by means of a table of logarithms numbers may be raised...
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