 | Nathan Scholfield - 1845 - 894 pàgines
...by def. (2). — is the logarithm of N « that is to say, x _L 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 "»". 4 •fjj T~ nk... | |
 | Nathan Scholfield - 1845 - 244 pàgines
...by def. (2). — is the logarithm of N * that is to say, x _L 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 T/YIT, m It... | |
 | Charles William Hackley - 1846 - 542 pàgines
....-. by definition, - is the logarithm of N L ; 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 mx — whence — is the logarithm of N". It is of the... | |
 | Charles William Hackley - 1847 - 546 pàgines
....-. 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 in mi N°=a~", mz ™ whence — is the logarithm of N".... | |
 | Charles William Hackley - 1849 - 534 pàgines
...i .-. 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 hence — is the logarithm of N". It is of the highest... | |
 | Elements - 1850 - 140 pàgines
....: N" = a"*; • "« log. _£» n := HX ^ = H log. -¿V. Prop. 4.—The logarithm of the root of any number is equal to the logarithm of the number divided by the index of the root. Since N=a*, .: .: \og.yN=- =*-\og.N. nn V. Hence, if we want to find the product of any numbers, we... | |
 | William Smyth - 1851 - 272 pàgines
...m = — — —— - AT 1 1, , »T £ * lOg.-ZV 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... | |
 | Benjamin Peirce - 1851 - 294 pàgines
...above equation, it becomes n log. p = n log. v' p, log. ¿ p = í£0; 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. 13. Corollary. The equation log. ni m' = log. m -f- log. m', gives log. m' =... | |
 | Adrien Marie Legendre - 1852 - 436 pàgines
...10 n =if n ' i. in which - i g ^e logarithm of M n : that is, 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 ; 0.954243 X 5 = 4.771215 ; whole number... | |
 | Charles Davies - 1854 - 436 pàgines
...1 10"=JIf»' ^ >n which - is the 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 5th power of 9 ? Log 9 = 0.954243 ; 0.954243 X 5 = 4.771215; whole, number... | |
| |
the logarithm of the m th root of a number is equal to the logarithm of the number divided by the index of the root LOGARITHMS. 
