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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. "
Elementary text-book of trigonometry - Side 89
av Robert Hamilton Pinkerton - 1884 - 176 sider
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A Treatise on the Elements of Algebra

James Bryce - 1837 - 80 sider
...Logarithms constructed to the base 10 are called, for the sake of distinction, common logarithms. Hence, the common logarithm of a number is the index of the power of 10 which is equal to that number. The only other base to which logarithms have ever been constructed,...
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An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - 1842 - 300 sider
...constructed upon the number 10 as a base. Hence, The common logarithm of a number, is the exponent of the power to which 10 must be raised, in order to produce that number. Thus, 3 is the logarithm of 1000, because 103 = 1000; and 0.5 is the logarithm...
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The elements of algebra, with additions by W. Galbraith and W. Rutherford

John Bonnycastle - 1848
...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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An introduction to the differential and integral Calculus

James Thomson - 1848
...Hence, as x may be any positive number, and y its logarithm, we arrive at the conclusion, that the logarithm of a number is the index of the power to which the base of the system must be raised to produce that number. Thus, in the common logarithms, m which...
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Arithmetic, algebra, differential and integral calculus, by W. Rutherford ...

Royal Military Academy, Woolwich - 1853
...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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The elements of algebra. [With] Answers

Robert Fowler - 1861
...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...
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A Practical Arithmetic

George Albert Wentworth, Thomas Hill - 1881 - 351 sider
...one-tenth of a meter ; it is equivalent to 1.05671 liquid quarts. Logarithm of a number. The exponent of the power to which 10 must be raised in order to obtain the number. Long division. The method of dividing in which the processes are written in full....
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The Inductive Algebra: Embracing a Complete Course for Schools and Academies

William James Milne - 1881 - 347 sider
...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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A Practical Arithmetic

George Albert Wentworth, Thomas Hill - 1882 - 351 sider
...one-tenth of a meter; it ia equivalent to 1.05671 liquid quarts. Logarithm of a number. The exponent of the power to which 10 must be raised in order to obtain the number. Long division. The method of dividing in which the processes are written in full....
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Glossary of Terms and Phrases

Henry Percy Smith - 1883 - 521 sider
...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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