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 372by Henry Burchard Fine - 1904 - 595 pagesFull view - About this book
| George Darley - 1835 - 142 pages
...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... | |
| Silas Totten - Algebra - 1836 - 332 pages
...^ I. y — 1. Vy, £ \.y = 1. Vy, J \.y = 1. Vy, 1 « — \.y = \.Vy; n from which it follows, that the logarithm of any root of a number is the logarithm of the number itself divided by the index of the root. Reduction of Exponential Equations by Logarithms. (113.) If... | |
| John Hymers - Logarithms - 1841 - 244 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 т ч cf, .: <t/m •» v/0* = ar, _ л i * * De V " / — V Oft r* TT 11. Hence, if we have... | |
| Nathan Scholfield - Conic sections - 1845 - 542 pages
...— 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 - Geometry - 1845 - 506 pages
...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 pages
...— 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 - Algebra - 1846 - 542 pages
...- 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 - Algebra - 1851 - 272 pages
...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 - Astrology - 1852 - 584 pages
...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 - Geometry - 1852 - 436 pages
...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... | |
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