 | 1816 - 746 σελίδες
...is the logarithm of _ a ; and fince n may be either a whole number, or a fraction, it follows, that the logarithm of any power of a number is equal to the logarithm of that number, multiplied by the exponent of the power ; alfo, that the logarithm of any root of a number is equal to the logarithm... | |
 | Bézout - 1825 - 258 σελίδες
...The sum of the logarithms of two numbers is equal to the logarithm of their product, number 227. 92. The logarithm of any power of a number is equal to...logarithm of that number, multiplied by the index of the power, number 228. 93. The logarithm of the root of a number is equal to the logarithm of this... | |
 | Thomas Curtis (of Grove house sch, Islington) - 412 σελίδες
...is the logarithm of о *; and, since n may be either a whole number or a fraction, it follows, that the logarithm of any power of a number is equal to the logarithm of that number, multiplied by the exponent of the power ; also, that the logarithm of any root of a number is equal to the logarithm... | |
 | Charles Davies - 1830 - 390 σελίδες
...a™z=nm. Here, mx is the logarithm of nm ; from which it appears, that the logarithm of the power of any number, is equal to the logarithm of that number, multiplied by the index of that power. 7. If the mth root of both members of the equation az=n, x be taken, then, a'"=nm ;... | |
 | Robert Gibson - 1833 - 436 σελίδες
...nm. Here, mx is the logarithm of nm ; from which it appears, that the logarithm of the power of any number, is equal to the logarithm of that number, multiplied by the index of that power. 7. If the with root of both members of the equation ax=n, x- I x 1 be taken, then, am=nm;... | |
 | William Smyth - 1833 - 288 σελίδες
...both members to the mth power, we have amx — ytn whence the logarithm of yx= mx = m log y. That is, the logarithm of any power of a number is equal to the product of the logarithm of this number by the exponent of the power. To form any power whatever of... | |
 | Silas Totten - 1836 - 360 σελίδες
...we shall have, by supposing the logarithms of both members known, 1.6* = lr It has been shown, that the logarithm of any power of a number, is equal to the logarithm of the number ilself, multiplied by the exponent of the power (111) ; hence. \.b* = x \.b, and therefore... | |
 | 1836 - 192 σελίδες
...nm. Here, mx is the logarithm of nm ; from which it appears, that the logarithm of the power of any number, is equal to the logarithm of that number, multiplied by the index of that power. 7. If the mth root of both members'of the equation ax = n, - - ix . be taken, then,... | |
 | Benjamin Peirce - 1837 - 302 σελίδες
...-\- log. m -|- &.c. or log. mn = n log. TO ; Logarithm of Root, Quotient, and Reciprocal. that is, the logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 10. Corollary. If we substitute m = Vp, in the... | |
 | Benjamin Peirce - 1837 - 300 σελίδες
...= log. m -f log. m -|- log. m -|- &c. or II. Logarithm of Root, Quotient, and Reciprocal. that is, the logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 10. Corollary. If we substitute p = m», or n .... | |
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The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 
