 | George Egbert Fisher, Isaac Joachim Schwatt - 1902 - 504 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, Let logu m = x, then 6х = m. Raising both sides of the last equation to the pth... | |
 | John Marvin Colaw - Algebra - 1903 - 444 pages
....005 3.24 -s- 65 4.9 x(-306) x 48.3 6.32 x 7832' 100 x 2.9 x .081 481. The logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent of the power. Thus, 100" = (102)3 = 102*3 = 106. .'. log 1003 = 2x3 = 6. In general, if log m = x and... | |
 | James Morford Taylor - History - 1904 - 192 pages
...a*-v. Hence loga(M- N) = x — y = logaM — \ogaN. (iii) The logarithm of any power of an arithmetic number is equal to the logarithm of the number multiplied by the exponent of the power. Let Ж = a1. Then, for all real values of p, we have Mp = aï». Hence loga (M*) = px=p... | |
 | James Morford Taylor - Trigonometry - 1905 - 256 pages
...(AT •*• N) = x — y = log«, Af - loga.2v". (iii) The logarithm of any power of an arithmetic number is equal to the logarithm of the number multiplied by the exponent of the power. Let M = a*. Then, for all real values of p, we have M" = ai.*. Hence loga (Mp) = px =... | |
 | Webster Wells - Algebra - 1906 - 550 pages
.... 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. Raising both members of the assumed... | |
 | Webster Wells - Algebra - 1906 - 484 pages
...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. Raising both members of the assumed equation... | |
 | George Albert Wentworth - Algebra - 1906 - 440 pages
...quotient is equal to the logarithm of the dividend less that of the divisor. The logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent of the power. EXERCISE 136 1. What is the logarithm of 24 if 24 = Юi-8802? 2. What is the logarithm... | |
 | George Lisle - Accounting - 1906 - 450 pages
...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 be shown thus : — (1) Multiplication... | |
 | William Findlay Shunk - Railroad engineering - 1908 - 386 pages
...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 to the logarithm of the number divided... | |
 | Webster Wells - Algebra - 1908 - 456 pages
...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. Raising both members of the assumed... | |
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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. 
