 | 1816 - 746 σελίδες
...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... | |
 | Thomas Curtis (of Grove house sch, Islington) - 412 σελίδες
...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 - 142 σελίδες
...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 - 300 σελίδες
...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 - 302 σελίδες
...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 - 244 σελίδες
...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 - 506 σελίδες
....: 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 - 542 σελίδες
...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 - 894 σελίδες
....•. 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... | |
 | Charles William Hackley - 1846 - 544 σελίδες
....-. by definition, - 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 last two cases, we shall find mm* N»=a"% whence — is the logarithm of N". n It is... | |
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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. 
