| Isaac Dalby - 1806
...explained in the Arithmetic, Art. 161, 187, thus; Since /xr*—1 = /, therefore r"~~l = -f : and because **the logarithm of any power of a number is equal to the logarithm of that number multiplied by the** index or exponent denoting the power (187 Arith.) therefore (72 — l) log. r = log. -., that is, n... | |
| Isaac Dalby - 1813
...e*I>lained in the Arithmetic, Art. 161, 187, thus: Since/" xr " " =: /, therefore r" " =^.: and because **the logarithm of any power of a number is equal to the logarithm** °f that number multiplied by the index or exponent denoting tiiepower(187- Arith.) therefore (n —... | |
| 1816
...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...that number, multiplied by the exponent of the power** ; alfo, that the logarithm of any root of a number is equal to the logarithm of the number divided... | |
| Bézout - 1825 - 236 páginas
...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 the 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... | |
| Thomas Curtis (of Grove house sch, Islington)
...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...that number, multiplied by the exponent of the power** ; also, that the logarithm of any root of a number is equal to the logarithm of the number divided... | |
| Charles Davies - 1830 - 300 páginas
...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... | |
| William Smyth - 1833 - 280 páginas
...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... | |
| Robert Gibson - 1833 - 348 páginas
...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,... | |
| Silas Totten - 1836 - 304 páginas
...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 - 177 páginas
...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,... | |
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