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Βιβλία Βιβλία 1 - 10 από 97 για The logarithm of any power of a number is equal to the logarithm of the number multiplied....
" The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. "
A Theoretical and Practical Arithmetic: In which the Principles of that ... - Σελίδα 233
των Bézout - 1825 - 236 σελίδες
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Τόμος 2

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 R —...

A Course of Mathematics: Designed for the Use of the Officers and ..., Τόμος 2

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 —...

Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Τόμος 13

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 the logarithm of that number, multiplied by the exponent of the power ; alfo, that the logarithm of any root of a number is equal to the logarithm...

The London encyclopaedia, or, Universal dictionary of science, art ...

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 the logarithm of that number, multiplied by the exponent of the power ; also, that the logarithm of any root of a number is equal to the logarithm...

Elements of Surveying

Charles Davies - 1830 - 300 σελίδες
...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 ; but...

The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1833 - 348 σελίδες
...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, am=nm;...

Elements of Algebra

William Smyth - 1833 - 280 σελίδες
...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...

A New Introduction to the Science of Algebra...

1836 - 304 σελίδες
...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...

A Table of Logarithms: Of Logarithmic Sines, and a Traverse Table

1836 - 177 σελίδες
...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, then, am...

An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - 1837 - 276 σελίδες
...= log. m -f log. m -|- log. m -|- &c. or II. Logarithm of Root, Quotient, and Reciprocal. that is, the logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 10. Corollary. If we substitute p = m», or n ....




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