 The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.  A College Algebra - Page 378by Henry Burchard Fine - 1904 - 595 pagesFull view - About this book
 | Charles Davies - Geometry - 1854 - 436 pages
...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... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...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 answering... | |
 | Charles Davies - Algebra - 1857 - 408 pages
...the definition, yj — — log ( n-/N') ; that is, The logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. 234i From the principles demonstrated in the four preceding • articles, we deduce the following practical... | |
 | John Hymers - Logarithms - 1858 - 324 pages
...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 m = a", .: log„ (Jm) = ^ = — (log.«»). 11. Hence, if we have to multiply two numbers together,... | |
 | Charles Davies - Algebra - 1860 - 412 pages
...from the definition, — = log ("^W') ; that is, The logarithm of any root of a number is equal to the logarithm of the number divided by the index of the r.oot. 234( From the principles demonstrated in the four preceding articles, we deduce the following practical... | |
 | Henry Lee Scott - History - 1861 - 674 pages
...of the number by the exponent of the power ; and the logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. These properties of logarithms greatly facilitate arithmetical operations. For if multiplication is... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
.... Therefore, log (M m) = xm = (log M ) X m. 12. The logarithm of the ROOT of any number is equal to the logarithm of the number divided by the index of the root. For, let n be any number, and take the equation (Art. 9) 1 ,mt—\ x log Af Therefore, log WM ) = -= -fe—... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...a™ . ' Therefore, log (Mn) =xm= (log M) X m. 12. The logarithm of the ROOT of any number is equal to the logarithm of the number divided by the index of the root. For, let n be any number, and take the equation (Art. 9) Therefore, log 13. Hence, by means of logarithms,... | |
 | Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...a1*; therefore, log. (mr) = rx = r log. m. 6. — The logarithm of any root of a number ù equal to the logarithm of the number divided by the index of the root. For, let m = a* ; then x .— log. m. X The principal use of logarithms is to facilitate arithmetical computations.... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...a™ . Therefore, log (Mm) = xm = (log M) X m. 12. The logarithm of the ROOT of any number is equal to the logarithm of the number divided by the index of the root. For, let n be any number, and take the equation (Art. 9) Therefore, log 13. Hence, by means of logarithms,... | |
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