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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. "
Binomial Theorem and Logarithms: For the Use of the Midshipmen at the Naval ... - Página 50
por William Chauvenet - 1843 - 92 páginas
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volumen2

Isaac Dalby - 1806
...explained in the Arithmetic, Art. 161, 187, thus; Since /xr*—1 = /, therefore r"~~l = -f : and because the logarithm of any power of a number is equal to the logarithm of that number multiplied by the index or exponent denoting the power (187 Arith.) therefore (72 — l) log. r = log. -., that is, n...
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A Course of Mathematics: Designed for the Use of the Officers and ..., Volumen2

Isaac Dalby - 1813
...e*I>lained in the Arithmetic, Art. 161, 187, thus: Since/" xr " " =: /, therefore r" " =^.: and because the logarithm of any power of a number is equal to the logarithm °f that number multiplied by the index or exponent denoting tiiepower(187- Arith.) therefore (n —...
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Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Volumen13

1816
...is the logarithm of _ a ; and fince n may be either a whole number, or a fraction, it follows, that the logarithm of any power of a number is equal to...that number, multiplied by the exponent of the power ; alfo, that the logarithm of any root of a number is equal to the logarithm of the number divided...
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A Theoretical and Practical Arithmetic: In which the Principles of that ...

Bézout - 1825 - 236 páginas
...The sum of the logarithms of two numbers is equal to the logarithm of their product, number 227. 92. The logarithm of any power of a number is equal to the logarithm of that number, multiplied by the index of the power, number 228. 93. The logarithm of the root of a number is equal to the logarithm...
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The London encyclopaedia, or, Universal dictionary of ..., Parte1,Volumen13

Thomas Curtis (of Grove house sch, Islington)
...is the logarithm of о *; and, since n may be either a whole number or a fraction, it follows, that the logarithm of any power of a number is equal to...that number, multiplied by the exponent of the power ; also, that the logarithm of any root of a number is equal to the logarithm of the number divided...
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Elements of Surveying: With the Necessary Tables

Charles Davies - 1830 - 300 páginas
...a™z=nm. Here, mx is the logarithm of nm ; from which it appears, that the logarithm of the power of any number, is equal to the logarithm of that number, multiplied by the index of that power. 7. If the mth root of both members of the equation az=n, x be taken, then, a'"=nm...
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Elements of Algebra

William Smyth - 1833 - 280 páginas
...both members to the mth power, we have amx — ytn whence the logarithm of yx= mx = m log y. That is, the logarithm of any power of a number is equal to the product of the logarithm of this number by the exponent of the power. To form any power whatever of...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1833 - 348 páginas
...nm. Here, mx is the logarithm of nm ; from which it appears, that the logarithm of the power of any number, is equal to the logarithm of that number, multiplied by the index of that power. 7. If the with root of both members of the equation ax=n, x- I x 1 be taken, then,...
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A New Introduction to the Science of Algebra...

Silas Totten - 1836 - 304 páginas
...we shall have, by supposing the logarithms of both members known, 1.6* = lr It has been shown, that the logarithm of any power of a number, is equal to the logarithm of the number ilself, multiplied by the exponent of the power (111) ; hence. \.b* = x \.b, and therefore...
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A Table of Logarithms: Of Logarithmic Sines, and a Traverse Table

1836 - 177 páginas
...nm. Here, mx is the logarithm of nm ; from which it appears, that the logarithm of the power of any number, is equal to the logarithm of that number, multiplied by the index of that power. 7. If the mth root of both members'of the equation ax = n, - - ix . be taken,...
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