| Scottish school-book assoc - 1845 - 444 pages
...logarithms ; and the extracting of roots to that of dividing the logarithms of the numbers. 2. If n=a", x is called the logarithm of the number n to the base...logarithm of a number to a given base is that power of the base which is equal to the given number. 3. The base may be any number whatever except 1 , but... | |
| James Haddon - Algebra - 1850 - 210 pages
...ngpowersofa . Ans . 1 + 3 乃 + 4 が + 7 か + 11 タ + &c . CHAPTER XI ム 0GAEITHMS XXVII. If a* = n, x is called the logarithm of the number n to the base a. In the common system of logarithms, a = 10, and 0, 1, 2, 8, 4 ... , are the logarithms... | |
| George Wirgman Hemming - 1851 - 176 pages
...NATURE AND USE OF TABLES OF THE LOGARITHMS OF NUMBERS AND TRIGONOMETRICAL FUNCTIONS. 31. DBF. If a*=N, x is called the logarithm of the number N to the base a ; that is, the logarithm of any number to a given base is the power to which the base must be raised... | |
| Barnard Smith - 1857 - 740 pages
...number, x is said to be the LOGARITHM of the number N to the BASE a ; hence the following definition : " The Logarithm of a number to a given base is that...which the base must be raised to give the number." The logarithm of N to the base a is thus expressed, log. N. The logarithm of any number depends upon... | |
| James Pryde - Navigation - 1867 - 506 pages
...LOGARITHMS. 6 1. If the power ax be equal to the number N, or o* = N; then the index x, of the power a", is called the logarithm of the number N to the base a, and this is usually written x = log. aN. 62. Since a1 = a, therefore log. aa=i; and since el = e, therefore... | |
| James Hamblin Smith - Trigonometry - 1870 - 286 pages
...Multiplication, Evolution Division. 136. DEF. The Logarithm of a number to a given base is the index of the power to which the base must be raised to give the number. Thus if m = a", x is called the logarithm of m to the base a. For instance, if the base of a system... | |
| James Hamblin Smith - Algebra - 1870 - 452 pages
...1. XXXVIII. ON LOGARITHMS. 446. DBF. The LOGARITHM of a number to a given base is the index of the power to which the base must be raised to give the number. Thus if m = a", x is called the logarithm of m to the base a. For instance, if the base of a system... | |
| Braithwaite Arnett - Mathematics - 1873 - 120 pages
...njn3nt...nfn^. THE USE OF COMMON LOGARITHMS. DBF. The logarithm of a number to a given base is the index of the power to which the base must be raised to give the number. The base of the common system is 10. When a bar occurs over the first of the four figures in the logarithmic... | |
| Thomas Liddell Ainsley - Merchant marine - 1875 - 416 pages
...logarithms is as follows : — 60. DEF. — The logarithm of a number to a given base is the index of the power to which the base must be raised to give the number. For instance, if the base of a system of logarithms be 2, 3 is the logarithm of 8, because 8 = 23 =... | |
| Henry Evers - Mathematics - 1876 - 254 pages
...detail what a Logarithm really is. Starting with a second definition, — the Logarithm of a number is that power to which the base must be raised to give that number. For instance, 23=8. Here Logarithm of 8 to the base 2 is 3, because 2 must be raised to... | |
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