 | William David Pence, Milo Smith Ketchum - Surveying - 1915 - 418 pages
...of a quotient is the difference of the logarithms of the dividend and divisor. 3. The logarithm of a power of a number is equal to the logarithm of the number multiplied by the index of the power. 4. The logarithm of a root of a number is equal to the logarithm of the number... | |
 | George Wentworth, David Eugene Smith - Trigonometry - 1915 - 386 pages
...multiplication and division by merely adding and subtracting. 42. Logarithm of a Power. The logarithm• of a power of a number Is equal to the logarithm of the number multi1i/ieil lnj tio; For if Л = 10-, raising to the ptii power, Ap = Wpr. Hence logA"=px = plogA.... | |
 | Claude Irwin Palmer, Charles Wilbur Leigh - Logarithms - 1916 - 348 pages
...dividend minus the logarithm of the divisor. By (b). (6) The logarithm of a power of a number equals the logarithm of the number multiplied by the exponent of the power. By (c). (7) The logarithm of a root of a number equals the logarithm of the number divided by the index... | |
 | John William Norie, J. W. Saul - Nautical astronomy - 1917 - 642 pages
...means the cube of 10, 10* means the fourth power of 10, and so on. The logarithm of the power of any number is equal to the logarithm of the number multiplied by the index of the power. Formula. — r Log. M = Log. MX r. where M = any number, and r any power. EXAMPLES... | |
 | William Miller Barr - Engineering - 1918 - 650 pages
...difference will be the logarithm of the fraction. Involution by Logarithm. — On the principle that the logarithm of any power of a number is equal to the logarithm of that number multiplied by the exponent of the power, we have the following rule. Multiply the logarithm... | |
 | Raymond Benedict McClenon - Functions - 1918 - 264 pages
...III, (a*)* = alt'k, gives as the Third Law of Logarithms, The logarithm of a power of a number equals the logarithm of the number, multiplied by the exponent of the power. For, calling ah=N, (1) Nk = ahk. (Law III) (2) Translating (1) into logarithmic form, h = logaN. Translating... | |
 | George Wentworth - 1919 - 266 pages
...0.0170, 15 log1.04 = 0.2550 = log1.799. That is, 1.04" = 1.799. The logarithm of a power of a number is the logarithm of the number multiplied by the exponent of the power. Finding a Root by Logarithms. Find the cube root of 42.83. log 42.83 =1.6317, J log 42.83 = 0.5439... | |
 | George Wentworth, David Eugene Smith - Arithmetic - 1919 - 268 pages
...0.0170, 15 log1.04 = 0.2550 = log1.799. That is, 1.04 i5 = 1.799. The logarithm of a power of a number is the logarithm of the number multiplied by the exponent of the power. Finding a Root by Logarithms. Find the cube root of 42.83. log 42.83 =1.6317, J log 42.83 = 0.5439... | |
 | Walter Burton Ford, Charles Ammerman - Algebra - 1920 - 334 pages
...the fourth. We then have 254, which means 25X25X25X25. This illustrates the following rule. RULE IX. The logarithm of any power of a number is equal to...logarithm of the number multiplied by the exponent indicating the power. Thus log 3.17" = 10 log 3.17; similarly, log. 001743 = 6 log .00174. The way... | |
 | Walter Gustav Borchardt - Arithmetic - 1921 - 260 pages
...™-!2!=lOx-<" n 10" .•. log — ~xy = log m — log n. n Theorem III. — Tlie logarithm of the power of any number is equal to the logarithm of the number multiplied by the index of the power. Let logm = x .-. m=10x .-. log ran = nx = n log m. These theorems will apply also... | |
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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. 
