Books Books
The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Elements of Geometry and Trigonometry: From the Works of A.M. Legendre - Page 6
by Adrien Marie Legendre - 1874 - 455 pages

## The elements of algebra

Andrew Bell (writer on mathematics.) - 1839 - 500 pages
...= - or e"' = -; and hence x — ж'= l ~, У У1 У' or l?L = ly — ty (503.) ' The logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent of the power.1 If ax = y, then а«.т = yn ; and therefore nx = lyn, or ly" = nly (504.) ' The logarithm...

## A Treatise on Trigonometry, and on Trigonometrical Tables and Logarithms ...

John Hymers - Logarithms - 1841 - 244 pages
...m - o*, n — а", та* .-.-=— = а-', n а? •'• 1оёа (г ) = Х - У = l°Sam - loS«n9. The logarithm of any power of a number is equal to the product of the logarithm of the number by the index of the power. Since m = a', .-. m' = (a')' « a",...

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

Benjamin Peirce - Algebra - 1843 - 308 pages
...log. mmm &c. = log. m -|- log. m -j- log. m -j- &c. or 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 ezponent of the power. 12. Corollary. If we substitute m — -/p, in the above equation, it becomes...

## Binomial Theorem and Logarithms: For the Use of the Midshipmen at the Naval ...

William Chauvenet - Binomial theorem - 1843 - 102 pages
...the dividend ; the remainder is found in the table to be the logarithm of the required quotient. 62. The logarithm of any power of a number is equal to the logarithm of that number multiplied by the exponent of the power. For b being any number, we have a'°g-4=6. But...

## Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
....-. by def. (2), nx is the logarithm of N ", that is to say, The logarithm of any power of a given number is equal to the logarithm of the number multiplied by the exponent of the power. IV. Extract the »** root of both members of equation.(l). _1_ X N n= x _L .•. by def. (2). — is...

## Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Conic sections - 1845 - 244 pages
....*. by def. (2), na; is the logarithm of N ", that is to say, The logarithm of any power of a given number is equal to the logarithm of the number multiplied by the exponent of the power. IV. Extract the w** root of both members of equation (1). x _ .-. by def. (2). — is the logarithm...

## A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845 - 542 pages
...„•. by def. (2), nx is the logarithm of N ", that is to say, The, logarithm of any power of a given number is equal to the logarithm of the number multiplied by the exponent of the power. IV. Extract the n" root of both members of equation (1). x JL .: by def. (2), — is the logarithm...

## A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 542 pages
....•. by definition, nx is the logarithm of N" ; that is to say, The logarithm of any power of a given number is equal to the logarithm of the number multiplied by the exponent of the power. IV. Extract the »ith root of both members of equation (1). i * N~°=<z°. x 1 .-. by definition, -...