 | George Darley - 1835 - 142 pàgines
...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... | |
 | John Hymers - 1841 - 244 pàgines
...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 pàgines
...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 - 894 pàgines
...— 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... | |
 | Nathan Scholfield - 1845 - 542 pàgines
...— 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... | |
 | Charles William Hackley - 1846 - 542 pàgines
...- 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 whence — is the logarithm of N". It is of the highest... | |
 | William Smyth - 1851 - 272 pàgines
...log. Nm — — r= — — mm That is, the logarithm of the root of any degree of a number is equal to the logarithm of the number divided by the index of the root. The properties above are altogether independent of the base ; we may take, therefore, as we have before... | |
 | William Lilly, Zadkiel - 1852 - 584 pàgines
...logarithm of the quotient. Also the logarithm multiplied by the index of the power raises the power ; and the logarithm of the number divided by the index of the root extracts the root, &c. Logarithms are a series of numbers in arithmetical progression, which answer... | |
 | Adrien Marie Legendre - 1852 - 436 pàgines
...which - ig ^e logarithm of M n : that is, n The logarithm of the root .of a given number is equal to the logarithm of the number divided by the index of the root. EXAMPLES. 1. What is the 5th power of 9? Log 9. =0.954243; 0.954243x5-4.771215; whole number answering... | |
 | Charles Davies - 1854 - 436 pàgines
...which - is tne logarithm of M" : that is, n The logarithm of the root of a given number is equal to the logarithm of the number divided by the index of the root. EXAMPLES. 1. What is the oth power of 9 ? Log 9 = 0.954243 ; 0.954243 X 5 = 4.771215; whole_ number... | |
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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. 
