 | 1816
...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 of the number divided by the exponent of the root. (42.) There may- be various fyftems of logarithms, according to the different... | |
 | Bézout - 1825 - 236 páginas
...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 of this number, divided by the index or degree of the root, number 230. 94. The logarithm of a whole number... | |
 | Thomas Curtis (of Grove house sch, Islington)
...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 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
...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 - 1837 - 276 páginas
...equation, it becomes n log. p = » log. V>, or * log! p log- Vp = *&* 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 + log. m', gives log. m' = log.... | |
 | Benjamin Peirce - 1837 - 288 páginas
...above 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.... | |
 | John Hymers - 1841 - 151 páginas
...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
...JL .: by def. (2), — is the logarithm of N » that is to say, The logarithm of any root of a given number is equal to the logarithm of the number divided by the index of the root. Combining the two last cases, we shall find, whence, — is the logarithm of N "•". n It is of the... | |
 | Nathan Scholfield - 1845 - 232 páginas
....: by def. (2), — is the logarithm of N •> that is to say, The logarithm of any root of a given number is equal to the logarithm of the number divided by the index of the root. Combining the two last cases, we shall find, m in v N~r = a~ whence, — is the logarithm of N "«".... | |
 | Nathan Scholfield - 1845
....•. by def. (2). — is the logarithm of N « that is to say, The logarithm of any root of a given number is equal to the logarithm of the number divided by the index of the root. Combining the two last cases, we shall find, •fjj T~ nk whence, — is the logarithm of N "»". 4... | |
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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. 
