 | Charles Hutton - Logarithms - 1785 - 560 pages
...the logarithm of the root by the index of the power 5 and the extracting of roots, to the dividing the logarithm of the given number by the index of the root required to be extracted: So ift. L. ab or axb is = L. a + L. b L. 18 or з x 6 is = L. з + L. 6 L.... | |
 | Charles Hutton - Logarithms - 1785 - 534 pages
...the logarithm of the root by the index of the power ; and the extracting of roots, to the dividing the logarithm of the given number by the index of the root required to be extracted: So lit. L. ab or axb is — L. a + L. Ъ L. 18 or 3 x 6 is •=. L. 3 + L.... | |
 | William Frend - Algebra - 1796 - 688 pages
...required. Then 10« = the я"1 root of the number : but the logarithm of io~ = — Divide therefore the logarithm of the given number by the inde'x of the root required, and the quotient gives a logarithm whofe correfponding number is the root required. If the... | |
 | Alexander Ewing - Logarithms - 1799 - 512 pages
...place from unity, and therefore feven cyphers muft be prefixed. 1 2. To extract r00ts by logarithms. Divide the logarithm of the given number by the index of the power i the quotient is the logarithm of the r00t ; that is, divide by 2 for the fquare r00t, by 3... | |
 | Mathematics - 1801 - 446 pages
...1-0045 0-0019499 The Index 365 ' 9749S 116994 58497 Power 5-148888 *7II7I35 Eroiwriox LOGARITHMS. ROLE. Divide tHe logarithm of the given number by the index of the power,' and the" number answering to the quotient will be the root required. NOTE. When the index of... | |
 | Thomas Hodson - Education - 1802 - 556 pages
...logarithm of the root by the index of the power: and the extraction of roots may be performed by dividing the logarithm of the given number by the index of the root requiied to be extracted. Logarithms considered in their theory, are of very ancient origin, and were... | |
 | David Steel - 1805 - 392 pages
...of 1 1 = 1 .4139 x 5 5.20695 20695 is the logarithm of 16105 1, the Answer. EVOLUTION BY LOGARITHMS. DIVIDE the logarithm of the given number by the index of the power » the quotient is the logarithm of the root. EXAMPLE. What is the cube root of 156252 ? Logarithm... | |
 | Andrew Mackay - Latitude - 1809 - 414 pages
...&39S770 PROBLEM VII. To perform EVOLUTION by Logarithms ; that w, to extract any proposed Root of a given Number. RULE. Divide the logarithm of the given number by the index of the power, and the quotient will be the logarithm of the root. If the given number is a decimal, and the... | |
 | John Gummere - Plane trigonometry - 1817 - 392 pages
...power of .32513. Ans. .0003841. PROBLEM VI. >• » iTo extract any root of a number logarithmically* RULE. ' Divide the logarithm of the given number by the index of the root, that is by 2 for the square root, by 3 for the cube root, &c. and the quotient will be the logarithm... | |
 | John Mason Good - 1819 - 742 pages
...the Logarithm of the root by the index of the power ; and the extracting of roots, to the dividing the Logarithm of the given number by the index of the root required to be extracted. So, 1st, Log. alt or of я x A is ~ log. a + log. b, Log. 18 or of 3 x 6... | |
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Divide the logarithm of the given number by the index of the root ; and the quotient will be the logarithm of the required root (Art. 
