 For, 2Р = (а")' = а"г. . • . loga (N") = np=plog„N. 7. The logarithm of the real positive value of a root of a positive number is found by dividing the logarithm of the number by the index of the root.  Plane and Spherical Trigonometry - Page 116by George Albert Wentworth - 1902 - 232 pagesFull view - About this book
 | William Thomas Brande, George William Cox - Science - 1866 - 972 pages
...the number and the exponent of the power, and (4) the logarithm of any root of a number is obtained by dividing the logarithm of the number by the index of the root By means of a calculated table of logarithms, therefore, the operations of multiplication, division,... | |
 | William Thomas Brande - Encyclopedias and dictionaries - 1866 - 968 pages
...the number and the exponent of the power, and (4) the logarithm of any root of a number is obtained by dividing the logarithm of the number by the index of the root. By means of a calculated table of logarithms, therefore, the operations of multiplica! ion, division,... | |
 | Joseph Ficklin - Algebra - 1874 - 446 pages
...loga(mr) = rx = r logam. 563. Tlie logarithm of any root of a number is equal to the quotient obtained by dividing the logarithm of the number by the index of the root. Extracting the гл root of both members of the equation m = a*, x_ =ar 564:. EXAMPLES. Prove each... | |
 | William Guy Peck - Conic sections - 1876 - 376 pages
...finding the number that corresponds to the resulting logarithm. We may extract any root of a number by dividing the logarithm of the number, by the index of the root, and then finding the number that corresponds to the resulting logarithm. Ex. 1. What is the cube of... | |
 | Robert Potts - Arithmetic - 1876 - 392 pages
...{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 that if a table of the logarithms of the natural numbers be arranged in order ; by... | |
 | Robert Potts - Arithmetic - 1876 - 418 pages
...loga{«•} = tloga«. 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 that if a table of the logarithms of the natural numbers be arranged in order ; by... | |
 | Benjamin Greenleaf - 1879 - 346 pages
...Find the square root of 1296. OPERATION. Log of 1296 = 3.1126. 2)3.1126 = 1.5563, whose number is 36. Dividing the logarithm of the number by the index of the root (Art. 361), we have as the logarithm of the root 1.5563, whose corresponding number is 36. RULE. Divide... | |
 | Benjamin Greenleaf - Algebra - 1879 - 350 pages
...Find the square root of 1296. OPERATION. Log of 1296 = 3.1126. 2)3.1126 = 1.5563, whose number is 36. Dividing the logarithm of the number by the index of the root (Art. 361), we have as the logarithm of the root 1.5563, whose corresponding number is 36. RULE. Divide... | |
 | George Albert Wentworth, George Anthony Hill - Logarithms - 1883 - 186 pages
...power. For, Therefore, An= (10«)» = 10«». log An = an = n log A . 5. The logarithm of the root of a number is found by dividing the logarithm of the number by the index of the root. For, Therefore, = 10». „_ a logA logVZ=-=— 6. The logarithms of 1, 10, 100, etc., and of 0.1, 0.01,... | |
 | George Albert Wentworth - Plane trigonometry - 1885 - 96 pages
...power. For, An= (10°)"= 10е". Therefore, log An = an = n log Л. 5. The logarithm of the root of a number is found by dividing the logarithm of the number by the index of the root. For, VJ= VÏ& = 10n. Therefore, log vGï = -= — .jj — 6. The logarithms of 1, 10, 100, etc., and of... | |
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