The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. Higher Arithmetic - Page 234by George Wentworth, David Eugene Smith - 1919 - 250 pagesFull view - About this book
| Henry Hunt Ludlow - Logarithms - 1891 - 322 pages
...number multiplied by the exponent of the power. 4°. The logarithm of any root of any number is equal to the logarithm of the number divided by the index of the root. Applications. 5. When the mantissa of a subtrahend is greater than that of the minuend, unity is added... | |
| Edward Albert Bowser - Trigonometry - 1892 - 392 pages
...let a; = log„m. .-. m = az. .-. logamp = px= (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 a;=logam. .-. m = a*. I » .-. mг = aг. - x I .: log(mг) = - = -logam. rr It follows from... | |
| James Morford Taylor - Algebra - 1893 - 362 pages
...the number multiplied by the exponent of the power ; and the logarithm of any root of a number equals the logarithm of the number divided by the index of the root. 340. From the principles proved above, we see that by the use of logarithms the operations of multiplication... | |
| Ephraim Miller - Plane trigonometry - 1894 - 222 pages
...the number multiplied by the exponent of the power. (4) The logarithm of any root of a number equals the logarithm of the number divided by the index of the root. 143. The Arithmetwal Complement of a logarithm is the remainder after subtracting the logarithm from... | |
| Edward Albert Bowser - Logarithms - 1895 - 124 pages
...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. For the investigations of these rules the student is referred to the " Treatise on Trigonometry," p.... | |
| Edward Albert Bowser - Logarithms - 1908 - 128 pages
...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. For the investigations of these rules the student is referred to the " Treatise on Trigonometry," p.... | |
| Joe Garner Estill - 1896 - 214 pages
...number multiplied by the exponent of the power. IV. The logarithm, of a root of a number is equal to the logarithm of the number divided by the index of the root. 3. The only kind of logarithms with which we have to do here are those in which the assumed number,... | |
| Joe Garner Estill - 1896 - 186 pages
...number multiplied by the exponent of the power. IV. The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the root. 3. The only kind of logarithms with which we have to do here are those in which the assumed number,... | |
| James William Nicholson - Trigonometry - 1898 - 204 pages
...1), logai=pa', or by (A), log a" =px loga. 5. lV. The logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. For, Art. 2, • V(f), .Vä = l 0"r . r - a' .•. (Art. 1), logVä = — > or by (A), log л/а =... | |
| George Egbert Fisher - Algebra - 1899 - 506 pages
...exponent is a positive fraction whose numerator is 1, this principle may be conveniently stated thus : The logarithm of a root of a number is the logarithm of the number divided by the index of the root. For, logj (m') = - log m = 1 1 Eg, If Iog7 2401 = 4, what is Iog7 V2401 ? We have log7V2401 =|log7... | |
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