 | George Albert Wentworth, George Anthony Hill - Logarithms - 1883 - 186 pages
...A log - = a - b = lo В A - log B. 4. The logarithm of a power of a number is found by multiplying the logarithm of the number by the exponent of the power. For, Therefore, An= (10«)» = 10«». log An = an = n log A . 5. The logarithm of the root of a number... | |
 | John Bascombe Lock - Trigonometry - 1885 - 368 pages
...is equal to the difference of the logarithms of the dividend and divisor (iii) The logarithm of the power of a number is equal to the product of the logarithm of the number by the index denoting the power. (iv) The logarithm of the root of a number is equal to the result of dividing... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...(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... | |
 | George Albert Wentworth - Plane trigonometry - 1885 - 96 pages
...— = a — 6 = log A — log B. В 4. The logarithm of a power of a number is found by multiplying the logarithm of the number by the exponent of the power. For, An= (10°)"= 10е". Therefore, log An = an = n log Л. 5. The logarithm of the root of a number is... | |
 | George Albert Wentworth - 1887 - 206 pages
...log — = a — 6 = log ^4 — log B. 4. The logarithm of a power of a number is found by multiplying the logarithm of the number by the exponent of the power. For, An= (10«)n= 10«n. Therefore, log An = an = n log A. 5. The logarithm of the root of a number is found... | |
 | Edward Brooks - Algebra - 1888 - 344 pages
...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.... | |
 | Edward Albert Bowser - Algebra - 1888 - 868 pages
...— = 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... | |
 | George Albert Wentworth - Algebra - 1888 - 514 pages
...logarithm of the dividend. (6) The logarithm of a power of a positive number is found by multiplying the logarithm of the number by the exponent of the power. For, N" = (oT)" = a"". (7) The logarithm of the real positive value of a root of a positive number is found... | |
 | William Findlay Shunk - Railroad engineering - 1890 - 360 pages
...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... | |
 | William Joseph Hussey - Logarithms - 1891 - 178 pages
...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... | |
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The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take the equation (Art. 
