 | Walter Burton Ford - Algebra - 1922 - 286 pages
...= log 25+log 25+log 25+log 25, or log 254 = 4 log 25. 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 3.17i0 = 101og 3.17; similarly, log .001746 = 61og .00174 The way in... | |
 | Samuel Edward Dibble - Plumbing - 1922 - 648 pages
...equal to the logarithm of the numerator minus the logarithm of the denominator. 3. The logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 4. The logarithm of a root of a number is equal to the logarithm of the number divided by the index... | |
 | William Johnston Kearton, George Wood - Graphic methods - 1924 - 258 pages
...constant, loga L = loga С + loga M — loga N, or loga L = loga M — loga N + с, where c is a constant. The logarithm of any power of a number is equal to the product of the logarithm of the number and the index of the power. Let the power be Mm, where m is... | |
 | Edward Ira Edgerton, Perry Amherst Carpenter - Algebra - 1924 - 490 pages
...= — • M Hence, log — = x — y = log M — log N. The logarithm of a power of a number equals the logarithm of the number multiplied by the exponent of the power, or, stated in symbols, Log M" = n • log M. ir 0 1 2 8 4 5 6 T 0 9 10 0000 0043 0086 0128 0170 0212... | |
 | Benjamin Franklin Young - Business - 1925 - 778 pages
...quotient. This can be illustrated simply by reversing the computation given in No. i above. 3. Powers — The logarithm of any power of a number is equal to...the number multiplied by the exponent of the power. Hence, specifically, we (i) find the logarithm of the number, (2) multiply this logarithm by the exponent... | |
 | Lloyd Leroy Smail - Finance - 1925 - 338 pages
...the dividend minus the logarithm of the divisor: log -= = log M — log N. III. The logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent of the power: log M" = n log M. IV. The logarithm of a root of a number is equal to the logarithm of the number divided... | |
 | Edward Ira Edgerton, Perry Amherst Carpenter - Algebra - 1925 - 398 pages
...— • M Hence, logn — = x - y = loga M - log0 N. 6. The logarithm of a power of a number equals the logarithm of the number multiplied by the exponent of the power, or, stated in symbols, Logn M" = n • logn M. Proof: Let x — log0 M, so that a* = M. Raising both... | |
 | George Gailey Chambers - Statistics - 1925 - 280 pages
...z Multiplying, CC - = kx+* or logfc -j = logfcC + III. The logarithm of a power of a number equals the logarithm of the number multiplied by the exponent of the power. Consider the power c" and let c = kx or logfcC = x then This law is also true for fractional and negative... | |
 | W. G. Borchardt, A. D. Perrott - Trigonometry - 1928 - 492 pages
...log n = y .'. n = 10", 10» = log т — log«. 58. Theorem III. The logarithm of the power of any number is equal to the logarithm of the number multiplied by the index of the power. Let log m = x, .'. m = 10*, т" = = n log m. These theorems have been proved for... | |
 | Arthur McCracken Harding, George Walker Mullins - Algebra - 1928 - 344 pages
...logarithm of the divisor. For M/N = a*/av = a1-". Hence loga M/N = x — y — loga M — loga N. (9) The logarithm of any power of a number is equal to the exponent multiplied by the logarithm of the number. For Mk = (a1)* = akx. Hence logo Mk = kx = k logo... | |
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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. 
