 The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.  Elementary Algebra - Page 373by Frederick Howland Somerville - 1908 - 407 pagesFull view - About this book
 | Ephraim Miller - Plane trigonometry - 1894 - 222 pages
...logarithm of the dividend and that of the divisor. (3) The logarithm of any power of a number equals the logarithm of the number multiplied by the exponent of the power. (4) The logarithm of any root of a number equals the logarithm of the number divided by the index of... | |
 | Edward Albert Bowser - Logarithms - 1908 - 128 pages
...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 to the logarithm of the number divided by the index... | |
 | Edward Albert Bowser - Logarithms - 1895 - 124 pages
...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 to the logarithm of the number divided by the index... | |
 | Joe Garner Estill - 1896 - 186 pages
...equal to the logarithm of the dividend minus the logarithm of the divisor. 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 a root of a number is equal to the logarithm of the number divided by the index... | |
 | Joe Garner Estill - Geometry - 1896 - 168 pages
...equal to the logarithm of the dividend minus the logarithm of the divisor. 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 a root of a number is equal to the logarithm of the number divided by the index... | |
 | George Albert Wentworth - Algebra - 1897 - 536 pages
...From this it follows that log — = log 1 — log m. But, since log 1 = 0, log — = — log m. III. The logarithm of a power of a number is equal to the...logarithm of the number multiplied by the exponent oj the 2)owerFor, let x be the logarithm of m. Then то = ax, and mi' = (a?) P = aPx. .: log mP =... | |
 | James William Nicholson - Trigonometry - 1898 - 204 pages
...1), log( - )= a' — 6', or by (A), log f § ] = log a — log b. \°/ 4. lll. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. For, Art. 2, (/)', a* = l0"'. ... (Art. 1), logai=pa', or by (A), log a" =px loga. 5. lV. The logarithm... | |
 | Andrew Wheeler Phillips, Wendell Melville Strong - Trigonometry - 1898 - 362 pages
...dividend minus the logarithm of the divisor. Thus log»— — logam — logan. n The logarithm of the power of a number is equal to the logarithm of the number multiplied by the exponent. Thus loga m*=p loga m. To obtain the logarithm of a number to any base a from its Naperian logarithm,... | |
 | George Egbert Fisher - Algebra - 1899 - 506 pages
...1=0. Eg, Iog2 4 = 2, and Iog2 £ = — 2. 19. Tlie logarithm of any power, integral or fractional, of a number is equal to the logarithm of the number multiplied by the exponent of the power; or, ) = p log m. Let logj m — x, then 6* = m. Raising both sides of the last equation to the pth... | |
 | Pitt Durfee - Plane trigonometry - 1900 - 122 pages
...Raising m = 10* to the £th power, m1ft = 10ift*, or log mk = kx = k log m. III. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. Since a root is a fractional power, the logarithm of the kti\ root of a number is — times the logarithm... | |
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