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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. "
Elementary Trigonometry - Page 88
by James Hamblin Smith - 1870 - 224 pages
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - Railroad engineering - 1908 - 388 pages
...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 of the root. . 6. The preceding principles enable us to...
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Plane Trigonometry

Levi Leonard Conant - Plane trigonometry - 1909 - 290 pages
...number multiplied by the index of the power. PROOF. mv = (10*)" = 10*y. .'. log mv = xy = y log m. 5. The logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. x PROOF. VTO = Vl& = 10". , y, — X log...
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Plane and Spherical Trigonometry

Levi Leonard Conant - Trigonometry - 1909 - 320 pages
...number multiplied by the index of the power. PROOF. m? = (10*)" = 10*». .'. log m v = xy = y log m. 5. The logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. i -?/— —® — log m yy ' X 6. The logarithm...
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Plane and Sperical Trigonometry (with Five-place Tables): A Text-book for ...

Robert Édouard Moritz - Trigonometry - 1913 - 562 pages
...the quantity whose яth root is to be extracted, -is the logarithm of the resulting root; hence, n The logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root to be extracted, or if p=4W, iog/» = !^r....
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Industrial Engineering: A Handbook of Useful Information for ..., Volume 1

William Miller Barr - Engineering - 1918 - 650 pages
....07654: The logarithm of .07654 is 2Г.883888 3 Cube, .0004484, log 4.651664 Evolution by Logarithm. — The logarithm of any root of a number is equal to the logarithm of that number divided by the index of the root. To extract the root of a number by logarithm...
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General Mathematics, Book 1

Raleigh Schorling, William David Reeve - Mathematics - 1919 - 522 pages
...log va = log a * = ^ log «, and so on. This illustrates the truth of another theorem, namely, that the logarithm of any root of a number is equal to the logarithm of the number divided ly the index of the root. Thus,. log VM2=i log 542 = = 1.3670. If the...
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Statistics as Applied in Business

Benjamin Franklin Young - Business - 1925 - 778 pages
...3(0.47712) multiplied by 3 gives log 1.43136 which is the logarithm of 27, the cube of 3. 4. Roots — The logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. Specifically, we (i) find the logarithm of...
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Annual Report of the Secretary of War, Volume 4

United States. War Department - 1883 - 1046 pages
...P = m" or m = \/~p in the above equation, we have log P = n log yj> or log {/p = i°S_i- ; that is, the logarithm of any root of a number is equal to the log of the number divided by the exponent of the root. Corollary III. The equation log m m' = log от...
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