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 Βιβλία Βιβλία 51 - 60 από 98 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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## Elementary Arithmetic: With Brief Notices of Its History, Τόμοι 1-12

Robert Potts - 1876
...eloe«« by def. Then raising each to the wlh power. a' = «"log««. .-. log„{«"} = » log.«. Or, the logarithm of any power of a number, is equal to the product of the logarithm of the number and the index of the power. 5. PB.OP. To find the logarithm...

## The Normal Higher Arithmetic: Designed for Common Schools, High Schools ...

Edward Brooks - 1877 - 542 σελίδες
...by the second, we have, »•— f Hence, log ( — J = m — n, or, = log M — log N. PRIN. 6. — The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. For, since if we raise both members to the nth...

## A Treatise on Algebra

Elias Loomis - 1879 - 384 σελίδες
...corresponding to the resulting logarithm, and it will be the quotient required. 398. Tlte logariOim of any power of a number is equal to the logarithm of that number multiplied by the exponent of the power. If we raise both members of Eq. (1) to any power denoted by ]), we have apx=mp....

## New Elementary Algebra: Designed for the Use of High Schools and ..., Βιβλίο 1

Benjamin Greenleaf - 1879 - 336 σελίδες
...equations, ax = m, a" = n, and dividing, member by member, we have , „ in ax~>> — — n (V »/' 3fiO. The logarithm of any power of a number is equal to the logarithm of the number, multiplied by the exponent of the power. For, assume the equation, a* = m, and raising...

## New Elementary Algebra: Designed for the Use of High Schools and ..., Βιβλίο 1

Benjamin Greenleaf - 1879 - 336 σελίδες
...equations, a* = wi, ai — n, and dividing, member by member, we have in which x — y = loga ( —V 360. The logarithm of any power of a number is equal to the logarithm of the number, multiplied by the exponent of the power. For, assume the equation, of =zm, and raising...

## The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1880 - 318 σελίδες
...logarithm of a quotient is equal to the logarithm of the dividend diminished by that of the divisor. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. The logarithm of any root of a number is equal...

## New Elementary Algebra

B. Greenleaf - 1880
...dividing, member by member, we have wi с?-у = — n in which x — y = log. ( - )• 3(íO. TJie logarithm of any power of a number is equal to the logarithm of the number, multiplied by the exponent of the power. For, assume the equation, ax = m, and raising...

## A Treatise on Algebra

Elias Loomis - 1881
...corresponding to the resulting logarithm, and it will be the quotient required. 398. The logariihm of any power of a number is equal to the logarithm of Hiat number multiplied by the exponent of the power. If we raise both members of Eq. (1) to any power...

## Logarithms

Henry Nathan Wheeler - 1882 - 43 σελίδες
...0.1761. m Given: Iogw123 = 2.0899 ; what is Iog100.123?_ Ans. 2.0899-3 = 1.0899. § 8. In any system the logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. Proof: If I = 6х, then is log6Z = ж, lm = (b*)"1...

## A School Algebra

Simon Newcomb - 1882 - 279 σελίδες
...— = 10*-*= -. Hence, by definition, A — k = los—, 9 or log p — log q = log—. THEOREM IX. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. • Proof. Let h = log p, and let n be the exponent....