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Βιβλία Βιβλία 61 - 70 από 99 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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Elements of Plane and Spherical Trigonometry with Logarithmic and Other ...

Simon Newcomb - 1882 - 104 σελίδες
...of a quotient is found by subtracting the logarithm of the divisor from that of the dividend. III. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. IV. The logarithm of the root of a number is equal...

Elementary algebra. To which is now added an appendix

James Hamblin Smith - 1883
...1-7191323 their difference = -8508148 which is the logarithm of 7-092752, the quotient required. 457. The logarithm of any power of a number is equal to the product of the logarithm of the numbcr and the index denoting the power. Let m=a'. Then m'=o"; .'....

Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - 1885 - 512 σελίδες
...(4) to the power denoted by p, we have, 10*" = mfwhence, by the definition, xp = logm". (8.) 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. 8. Extracting the root, indicated by r, of both...

The Normal Elementary Algebra: Containing the First Priniples of the Science ...

Edward Brooks - 1888 - 336 σελίδες
...B*=N. Dividing, S^~jn = MiN. Hence, log ( M •*• N) = m — n. Or log(M + N)=-logAT-logN. PRIN. 5. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. For, let 7W=logJI/. Then, B» = M. Eaising to nth...

College Algebra: For the Use of Academies, Colleges, and Scientific Schools ...

Edward Albert Bowser - 1888 - 540 σελίδες
...— = x — y = log m — log n. n Thus, log *£ = log 42 — log 5 = log 2 + Iog3 + log? - Iog5. (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 let x = log m ; then m = a*. Therefore m" =...

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

William Findlay Shunk - 1890 - 339 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...

Elementary Trigonometry

John Maximilian Dyer - 1891 - 266 σελίδες
...should have fit n log. — — = log. mn - log. pq = log. m + log. n - log. p - log. q. 107. Theorem 3. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the index of the power. Let m be any number, a the base ; we have to show...

Logarithmic and Other Mathematical Tables

William Joseph Hussey - 1891 - 148 σελίδες
...logarithm of a quotient is equal to the logarithm of the dividend, minus tJte logarithm of the divisor. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the index of the power. The logari(hm of any root of a number is equal to...

A Treatise on Plane and Spherical Trigonometry: And Its Applications to ...

Edward Albert Bowser - 1892 - 368 σελίδες
...and y = \ogan. .: m = a*, and n = a*. — = x — y = logam — log,и. Thus, log = logl7-log5. (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 let a; = log„m. .-. m = az. .-. logamp =...

Logarithmic and Trigonometric Tables

Edward Albert Bowser - 1908 - 87 σελίδες
...logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm 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...




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