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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....




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