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Books Books 1 - 10 of 174 on The logarithm of any power of a number is equal to the logarithm of the number multiplied....  
" 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 372
by Henry Burchard Fine - 1904 - 595 pages
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A system of popular trigonometry

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...
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A New Introduction to the Science of Algebra...

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...
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A Treatise on Trigonometry, and on Trigonometrical Tables and Logarithms ...

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...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - 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...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 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...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Geometry - 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 "«"....
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

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...
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Elementary Algebra: For the Use of Schools

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...
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An Introduction to Astrology

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...
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ELEMENTS OF GEOMETRY AND TRIGONOMETRY

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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