 | Joe Garner Estill - 1896 - 214 pages
...logarithm of a quotient is 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... | |
 | Joe Garner Estill - 1896 - 186 pages
...logarithm of a quotient is 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... | |
 | James William Nicholson - Trigonometry - 1898 - 204 pages
...10«'-''. .•. (Art. 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',... | |
 | Pitt Durfee - Plane trigonometry - 1900 - 122 pages
...logarithm of the divisor. 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... | |
 | Webster Wells - Algebra - 1906 - 484 pages
...5. log 85|. 8. log 375. 11. log Щ . 3. log11f 6. log 175. 9. logff. 12. log 2^. 423. 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. Assume the equation a* = m\ whence, x = 1ogam.... | |
 | Webster Wells - Algebra - 1906 - 550 pages
...log 85f. 8. log 375. 11. log Щ . 3. log 11*. 6. log 175. 9. log ft. 12. Iog2tt423. 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. • Assume the equation a* = m; whence, « = logam.... | |
 | George Lisle - Accounting - 1906 - 448 pages
...positive numbers is the excess of the logarithm of the dividend over the logarithm of the divisor. (3) The logarithm of any power of a number is equal to the logarithm of the number multiplied by the index of the power. If m, n, and x are any numbers, these properties may... | |
 | Webster Wells - Algebra - 1908 - 456 pages
...log-2/-. 5. Iog85f. 8. log 375. 11. log 46^3. logllJ, 6. log 175. 9. log §f. 12. log 2^89. 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. Assume the equation a" = m ; whence, x = log, m.... | |
 | William Findlay Shunk - Railroad engineering - 1908 - 386 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 is equal... | |
 | Levi Leonard Conant - Trigonometry - 1909 - 320 pages
...logarithm of the dividend minus the logarithm of the divisor. PROOF. n .-.tog 2n = log m — log n. 4. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the index of the power. PROOF. m? = (10*)" = 10*». .'. log m v = xy = y log... | |
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The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 
