| Encyclopedias and dictionaries - 1816
...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 of the number divided by the** exponent of the root. (42.) There may- be various fyftems of logarithms, according to the different... | |
| Thomas Curtis (of Grove house sch, Islington) - 412 pages
...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 of the number divided by the** exponent of the root. 42. There may be various systems of logarithms, according to the different values... | |
| George Darley - 1835 - 142 pages
...logarithm of the number multiplied by the index of the power, 8. AHT. 6. The logarithm of the root of any **number is equal to the logarithm of the number divided by the index of the root,** 9. . THE APPLICATION OF ALGEBRA TO GEOMETRY. DEF. The area of a figure is the .portion of space contained... | |
| Benjamin Peirce - Algebra - 1837 - 302 pages
...equation, it becomes log. p = n log. or , " log. n log. V>= -~n that is, the logarithm of any root of a **number is equal to the logarithm of the number divided by the** exponent of the root. 11. Corollary. The equation log. m m' = log. m -f log. m', gives log. m' = log.... | |
| Benjamin Peirce - Algebra - 1837 - 300 pages
...equation, it becomes log. p = n log. or " log. p log. VP = =3* that is, </ie logarithm of any root of a **number is equal to the logarithm of the number divided by the** expon ent of the root. 11. Corollary. The equation log. mm' = log. m -f log. m,, gives log. m, = log.... | |
| John Hymers - Logarithms - 1841 - 242 pages
...where r is any number whole or fractional, positive or negative. 10. The logarithm of the root of any **number is equal to the logarithm of the number divided by the index of the root.** Since т ч cf, .: <t/m •» v/0* = ar, _ л i * * De V " / — V Oft r* TT 11. Hence, if we have... | |
| Nathan Scholfield - 1845 - 896 pages
...denominator. III. Raise both members of equation (1) to the power of n. Nn =a" .-. by def. (2), nx **is the logarithm of N ", that is to say, The logarithm of any** power of a given number is equal to the logarithm of the number multiplied by the exponent of the power.... | |
| Nathan Scholfield - Conic sections - 1845 - 244 pages
...denominator. III. Raise both members of equation (1) to the power of n. N" =a" .*. by def. (2), na; **is the logarithm of N ", that is to say, The logarithm of any** power of a given number is equal to the logarithm of the number multiplied by the exponent of the power.... | |
| Nathan Scholfield - Geometry - 1845 - 506 pages
...n. Nn — aM .*. by def. (2), nx is the logarithm of N n, that is to say, The logarithm of any power **of a given number is equal to the logarithm of the number** multiplied by the exponent of the power. IV. Extract the n* root of both members of equation (1). X... | |
| Elias Loomis - Algebra - 1846 - 380 pages
...nth root of both members of equation (1), we shall obtain i therefore, according to the definition, - **is the logarithm of N" ; that is to say, The logarithm of any root of a** number, is equal to the logarithm of that number divided by the index of the root. EXAMPLES. Ex. 1.... | |
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