 | William Guy Peck - 1875 - 348 pages
...we have, ar = whence, by definition, ^ = Log tfm .... (8) hence, the following principle: 4°. Tlie logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. The applications of the above principles require a table... | |
 | Robert Potts - 1876 - 389 pages
...the logarithm of any root of a numi er. Here u = d°s* u by def. Andlog a {V 7l } = »jloga«. Or, the logarithm of any root of a number, is equal to the quotient arising from dividing the logarithm of the number by the index of the root. Hence it appears... | |
 | Robert Potts - 1876 - 392 pages
...the logarithm of any root of a number. Here M = я1c8«« by def. And log. {и*} = ,flog„«. Or, the logarithm of any root of a number, is equal to the quotient arising from dividing the logarithm of the number by the index of the root. Hence it appears... | |
 | Elias Loomis - 1877 - 458 pages
...characteristic is positive or negative. Ex.4. Required the cube of .07654. The logarithm of .07654 is 2.883888 3 Cube, .0004484, log. 4.651664. Ex. 5. Required the fourth power of 0.09874. Ex.6. Required the seventh power of 0.8952. EVOI.UTION BY I.OGARITHMS. 34. It is proved in Algebra,... | |
 | Elias Loomis - 1880 - 456 pages
...characteristic is positive or negative. Ex.4. Required the cube of .07654. The logarithm of .07654 is 2.883888 3 Cube, .0004484, log. 4.651664. Ex. 5. Required the...0.09874. Ex. 6. Required the seventh power of 0.8952. EVOI.UTION BY I.OGARITHMS. 34. It is proved in Algebra, Art. 399, that the logarithm of any root of... | |
 | William Findlay Shunk - 1880 - 362 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. 0. The preceding principles enable us to abridge labor... | |
 | Charles Davies, Adrien Marie Legendre - 1885 - 538 pages
...indicated by r, of both members of (4), we have whence, by the definition, - = log \?m. (9.) That is, the logarithm of any root of a number is equal to the logarithm of the number divided by the. index of the root. The preceding principles enable us to abbreviate the... | |
 | Elias Loomis - 1886 - 436 pages
...characteristic is positive or negative. Ex. 4. Required the cube of .07654. The logarithm of .07654 is 2.883888 3 Cube, .0004484, log. 4.651664 Ex. 5. Required the...0.09874. Ex. 6. Required the seventh power of 0.8952. В EVOLUTION BY LOGARITHMS. 15. It is proved in Algebra, Art. 399, that the logarithm of any root of... | |
 | Edward Albert Bowser - 1888 - 868 pages
...log m ; then m = a*. Therefore m" = (a1)" = a** ; whence by definition, log mp = px = p log m. (7) The logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. For let x = log m ; then m = a1. 1 1 X Therefore m? =... | |
 | Charles Ambrose Van Velzer, Charles Sumner Slichter - 1888 - 234 pages
...Consequently nf=af*. Therefore, by definition, \og,,nf=pr That is, logan>=p log,,«. (c) 10. THEOREM. The logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. Let n be any number, and let loga n—x. Then, by definition,... | |
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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. 
