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
...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 - 304 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 - Trigonometry - 1841 - 151 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... | |
| Conic sections - 1845
...— 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... | |
| 1845
...— 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 - Conic sections - 1845 - 232 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 "«".... | |
| Charles William Hackley - Algebra - 1846 - 503 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 - 236 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 - 548 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... | |
| A. M. LEGENDRE - 1852
...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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