| Anthony Nesbit - 1859 - 494 σελίδες
...and the remainder will be the logarithm of the fourth term. Involution, or Raising of Powers. RULE. Multiply the logarithm of the given number by the index of the proposed power ; and the product will be the logarithm of the power sought. Evolution, or Extraction... | |
| James Stewart Eaton - 1862 - 320 σελίδες
...5 2 by 5 4 . Ans. 5". 34S. To involve a quantity that is already a power: KULE. Multiply the index of the given number by the index of the power to which it is to be raised. Thus, the 3d power of 2 2 is 2 G , for 2 2 = 2 X 2, and the 3d power of2x2is2X2X2X2X2X2 = 2X2x2X2X... | |
| Benjamin Greenleaf - 1863 - 504 σελίδες
...LOGARITHMS. 34. Multiply the logarithm of the given number by the exponent of the power to which the number is to be raised ; and the product will be the logarithm of the required power (Art. 11). acteristic multiplied by it will give a negative result ; but that which... | |
| Oliver Byrne - 1863 - 600 σελίδες
...of 3-24718 0-5115064 Ans. -8240216 T-9159386 INVOLUTION; OR, THE RAISING OF POWERS, BY LOGARITHMS. Multiply the logarithm of the given number by the index of the proposed power ; then the natural number answering to the result will be the power required. Observing,... | |
| James Stewart Eaton - 1864 - 322 σελίδες
...Multiply 53 by 54. Ans. 5". 348. To involve a quantity that is already a power : RULE. Multiply the index of the given number by the index of the power to which it is to le raised. Thus, the 3d power of 22 is 2", for 2Z = 2 X 2, and the 3d power of2X2is2X2X2X2X2X2 = 2X2X2X2X... | |
| Samuel Alsop - 1865 - 440 σελίδες
...Divide 76.342 by .09427. Ans. 809.82. 15. To involve a number to a power. Multiply the logarithm of the number by the index of the power to which it is to be raised. If the index of the logarithm is negative, and there is any thing to be carried from the product of... | |
| Benjamin Greenleaf - 1867 - 188 σελίδες
...LOGARITHMS. 34. Multiply the logarithm of the given number by the exponent of the power to which the number is to be raised; and the product will be the logarithm of the required power (Art, 11). Since the exponent of any power is positive, a negative characteristic multiplied... | |
| Benjamin Greenleaf - 1869 - 516 σελίδες
...LOGARITHMS. 34. Multiply the logarithm of the given number by the exponent of the power to which the number is to be raised ; and the product will be the logarithm of the required power (Art. 11). acteristic multiplied by it will give a negative result ; but that which... | |
| James Stewart Eaton - 1873 - 358 σελίδες
...following: To involve a quantity that is already a power, RULE. Multiply the index of the given number ly the index of the power to which it is to be raised. Thus, the 3d power of 2* is 2»; for 2* =2 X 2, and the 3d power of 2 X 2 is 2X2 X 2 X 2 X 2X2 = 2X2X2X2... | |
| James Stewart Eaton - 1876 - 366 σελίδες
...Multiply 52 by 5«. Ans. 56. 848. To involve a quantity that is already a power : RULE. Multiply the index of the given number by the index of the power to which it is to be raised. Thus, the 3d power of 22 is 26, for 22=2 X 2, and the 3d power of 2X2 is 2 X 2 X 2 X 2 X 2X 2=2 X 2X... | |
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