 | Benjamin Greenleaf - 1876 - 204 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... | |
 | James Pryde - 1878 - 520 σελίδες
...16 ) To PERFORM INVOLUTION RY LOGARITHM8. Multiply the logarithm of the given number by the exponent of the power to which it is to be raised, and the product will be the logarithm of the required power. EXAMPLE. Find the cube of 30-7146. L 30-7146 = 1-4873449 3 Power = 28975-75, its log.... | |
 | James Pryde - 1878 - 508 σελίδες
...15 ) To PERFORM INVOLUTION nr LOGARITHMS. Multiply the logarithm of the given number by the exponent of the power to which it is to be raised, and the product will be the logarithm of the required power. » EXAMPLE. Find the cube of 307146. L 30-7146 = 1-4873449 3 Tower = 28975-75, its... | |
 | C R. Lupton - 1879 - 194 σελίδες
...xy + y + ^/ xz — \f"yi 107. To find the powers of a surd. Multiply the exponent of ^the quantity by the index of the power to which it is to be raised. Conversely, to find the roots of a surd. Divide the exponent of the quantity by the index of the root... | |
 | Alexander Wilson (M.A.) - 1879 - 228 σελίδες
...power by raising each factor separately : and this is effected by multiplying the index of each factor by the index of the power to which it is to be raised. Thus, (a'f = a2 . à? . a2 = a2xl = a». (4а262с)2 = 16aW. 54. — Any power of a positive quantity... | |
 | Sydney Lupton - 1882 - 374 σελίδες
...-074 = 2-8692 4-4276 4-4276 3-2017 (iii) To find the power of a number multiply the logarithm of the number by the index of the power to which it is to be raised, and the product is the logarithm of the required power. Thus 2'°. log 2 = -30103 10 log"1 3-0103 = 1024. Again (9-163)4.... | |
 | Popular educator - 1884 - 910 σελίδες
...QUANTITIES. To involve a radical quantity to any required power, Multiply the index of tlie root into the index of the power to which it is to be raised. EXAMPLE. — Thus the square of a* = o'x" = a*. For a$ xa$ = a'. A root « raised to a power of the... | |
 | Charles Smith - 1894 - 620 σελίδες
...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 σελίδες
...= 1-7235199, which is the log. of 52-90782. Ans. III. To raise a number to any power by logarithms. Multiply the logarithm of the given number by the...raised, and the product will be the logarithm of the required power. (1) Find the cube of 30-7140, written thua: (307146)3. Log. 30-7146 = 1-4873449 3 4-4620347,... | |
 | Charles Haynes Haswell - 1903 - 1092 σελίδες
...rate of excavation? 394.626 days. Involution. RULE.— Multiply logarithm of given number by exponent of the power to which it is to be raised, and the product will give the logarithm of the required power. EXAMPLE.— What is cube of 30.71 r Log. 30.71 = 1.48728... | |
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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 power sought. 
