| Charles Smith - 1894 - 620 sider
...nt Thus, to raise any power of a quantity to any other .power, its original index must be multiplied by the index of the power to which it is to be raised. 199. To find (ab)1". (ab)m = ab x ab x ab... to m factors, by definition, = (aaa... to m factors) x... | |
| Arnold Lupton - 1902 - 494 sider
...Ans. III. To raise a number to any power by logarithms. Multiply the logarithm of the given number by the index of the power to which it is to be raised, and the product will be the logarithm of the required power. (1) Find the cube of 30-7140, written thua:... | |
| Joseph Victor Collins - 1908 - 442 sider
...exponent oft/us quantity in the quotient. 4. In raising to powers multiply the exponent of a factor quantity by the index of the power to which it is to be raised for the exponent of this quantity in the answer. 5. In extracting roots divide the exponent of a factor... | |
| Joseph Victor Collins - 1910 - 332 sider
...exponent of this quantity in the quotient. 4. In raising to powers multiply the exponent of a factor quantity by the index of the power to which it is to be raised for the exponent of this quantity in the answer. 5. In extracting roots divide the exponent of a factor... | |
| Robert Édouard Moritz - 1913 - 562 sider
...power; hence, The logarithm of any power of a number is equal to the logarithm of the number multiplied by the index of the power to which it is to be raised, or If P = Nn, log P = n log N. Thus log 35 = 5 log 3. (¿) ^P = a" ж is the logarithm of the quantity... | |
| Clement Mackrow - 1916 - 766 sider
...separately. INVOLUTION AND EVOLUTION BY LOGARITHMS. RULE. — Multiply the logarithm of the number by the index of the power to which it is to be raised. The antilogaritlmi of the result is the number required. Ex. 1. — Find the cube and cube root of... | |
| John William Norie, J. W. Saul - 1917 - 642 sider
...index of that power : hence, to raise or involve a number to a given power, multiply its logarithm by the index of the power to which it is to be raised, and the product will be the logarithm of the power sought. When the given number is a decimal fraction,... | |
| Joseph Victor Collins - 1918 - 360 sider
...exponent of this quantity in the quotient. 4. In raising to powers, multiply the exponent of a factor quantity by the index of the power to which it is to be raised for the exponent of this quantity in the answer. 5. In extracting roots, divide the exponent of a factor... | |
| Popular educator - 1860 - 424 sider
...(+ a) X (+ я) = «'• And (— a) X (— a) = »"• 181. To involve a quantity which is already a power. RULE. — Multiply the index of the quantity by the index of the paver to which it is to be raited. EXAMPLES. 14. Find the 3rd power of я5. Here, (a5)' = я«. For... | |
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