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" The logarithm of a number is the index of the power to which the base of the system must be raised to equal a given number. "
An introduction to the differential and integral Calculus - 24. lappuse
autors: James Thomson - 1848
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - 1837 - 300 lapas
...of logarithms, is of great importance; and the logarithm of a number maybe defined as the exponent of the power to which the. base of the system must be raised in order to produce this number. Logarithm of Product and of Power. 6. Corollary. When the base is...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - 1837 - 302 lapas
...of logarithms, is of great importance; and the logarithm of a number maybe defined as the exponent of the power to which the base of the system must be raised in order to produce this number. Logarithm of Product and of Power. 6. Corollary. When the base is...
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Binomial Theorem and Logarithms: For the Use of the Midshipmen at the Naval ...

William Chauvenet - 1843 - 102 lapas
...system. Hence the following definition : The logarithm of a number, in any system, is the exponent of the power to which the base of the system must be involved in order to produce tliat number. ,59. The logarithm of a number is denoted by the abbreviation...
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The elements of algebra, with additions by W. Galbraith and W. Rutherford

John Bonnycastle - 1848 - 334 lapas
...1 ; then e 1. S + 1.2.8 and if x = 1, we get __ + _ + _ + = 2-718281828459. THEORY OF LOGARITHMS. A logarithm of a number is the index of the power to which a given quantity must be raised that the power may be equal to the number. Thus, if the power a" be...
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Arithmetic, algebra, differential and integral calculus, by W. Rutherford ...

Royal Military Academy, Woolwich - 1853 - 476 lapas
...on. But the best method of considering logarithms is derived from the following definition : — A logarithm of a number is the index of the power to which a given quantity must be raised so as to be equal to that number. Tims in the equation a* = n, x is...
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An Elementary Treatise on Algebra: To which are Added Exponential Ewquations ...

Benjamin Peirce - 1855 - 308 lapas
...of logarithms, is of great importance ; and the logarithm of a number may be denned as t/ic exponent of the power to which the base of the system must be raised in order to produce this number. Logarithm of Product and of Power. 8. Corollary. When the base is...
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The elements of algebra. [With] Answers

Robert Fowler - 1861 - 426 lapas
...from unity Ъе taken as a base, every number from 0 to зэ may be regarded as a power of that base. The " Logarithm" of a number is the index of the power to which the base must be raised to produce that number. If 4 be the base, then 42 = 16) And these equalities may be...
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The Elements of Logarithms: With an Explanation of the Three and Four Place ...

James Mills Peirce - 1873 - 104 lapas
...It may have any positive value except unity. The logarithm of a number in any system is the exponent of the power to which the base of the system must be raised to produce that number. The antilogarithm of a number is that number of which the given number is the logarithm; in other words,...
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The Inductive Algebra: Embracing a Complete Course for Schools and Academies

William James Milne - 1881 - 360 lapas
...What 64? What 256? 4. What power of 10 equals 10? What power of 10 equals 1? What 100? What 1000? 352. The Logarithm of a number is the index of the power to which a constant number must be raised to produce the given number. Thus, when 4 is the constant number,...
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Glossary of Terms and Phrases

Henry Percy Smith - 1883 - 542 lapas
...number of the ratios] ; Base of L. ; Brigg's L. ; Common L. ; Hyperbolic L. ; Naperian L. ; Table of L. The logarithm of a number is the index of the power to which a given number (or bast} must be raised to equal that number. Thus, to the base io, the L. of looo...
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