...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....

...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....

...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...

...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...

...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...

...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...

...To perform EVOLUTION by Logarithms, that is, to extract any proposed root of any given number. RULE. Divide the logarithm of the given number by the index of the root, the quotient is the logarithm of the root. If the given number is a decimal, and thç arithmetical...

...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...

...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...

...power of .32513. Ans. .0003841. l PROBLEM VI. » To 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, 8tc. and the quotient will be the logarithm...