The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number. Elements of Algebra - Page 271by Bourdon (M., Louis Pierre Marie) - 1831 - 304 pagesFull view - About this book
| William Smyth - Algebra - 1830 - 278 pages
...these numbers ; this would be a table of logarithms. We define the logarithm of a number therefore, the exponent of the power, to which it is necessary to raise a given or invariable number, in order to produce the proposed number. Thus in the equation a* = y, xk... | |
| Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 446 pages
...Quantities and Logarithms. 209. Resolution of the equation ax=b. The object of the question is, to find the exponent of the power to which it is necessary to raise a given number a, in order to produce another given number b. We will first consider some particular... | |
| Charles Davies - Algebra - 1835 - 378 pages
...Exponential Quantities. Resolution of the Equation o*=fc, 238. The object of this question is, to find the exponent of the power to which it is necessary to raise a given number a, in order to produce another given number b. , Suppose it is required to resolve the... | |
| Charles William Hackley - Trigonometry - 1838 - 338 pages
...that of the dividend in order to obtain that of the quotient. , ,, n a1—'1 = — n Since I — I' is the exponent of the power to which it is necessary to raise a the base, in order to produce ~ it follows that I — f is the logarithm of ^ ie the logarithms of... | |
| Charles William Hackley - Trigonometry - 1838 - 328 pages
...multiplication, which is to add them together, we have Prom this last expression, it appears that I + I is the exponent of the power to which it is necessary to raise the base a, in order to produce the number nri. But nri is the product of n and n. Hence the logarithm... | |
| Charles Davies - Algebra - 1842 - 368 pages
...Exponential Quantities. Resolution of the Equation a*=i. 255. The object of this question is, to find the exponent of the power to which it is necessary to raise a given number a, in order to produce another given number b. Suppose it is required to resolve the equation... | |
| Charles Davies - Algebra - 1842 - 284 pages
...m=0, M will be equal to 1; if wi=l, M will be equal to 10, &.C. Hence, The logarithm of a number is the exponent of the power to which it is necessary to raise the base of the system in order to produce the number. 1 76. Letting, as before, a denote the base... | |
| Charles Davies - Algebra - 1845 - 382 pages
...invariable number a is called the bose of that system of logarithms. Hence, The logarithm of a number, is the exponent of the power to which it is necessary to raise an invariable number, called the base of the system, in order to produce the number. The general properties... | |
| Charles Davies - Algebra - 1850 - 292 pages
...m=0, M will be equal to 1; if w=l, M will be equal to 10, &,c. Hence, The logarithm of a number is the exponent of the power to which it is necessary to raise the base of the system in order to produce the number. 1 TO. Letting, as before, a denote the base... | |
| William Smyth - Algebra - 1851 - 272 pages
...values of N. In this equation, x is the logarithm of N. And in general, the logarithm of a number is the exponent of the power to which it is necessary to raise an invariable number talcen as a base, in order to produce the number. Supposing a table of logarithms... | |
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