 | John Hymers - Logarithms - 1841 - 244 pages
...Hence we have this definition : The logarithm of a number to a given base is the quantity expressing the power to which the base must be raised to be equal to the number. The logarithm of n to the base a is written log„n ; so that n - a', and л = logan, express the same... | |
 | John William Colenso (bp. of Natal.) - 1849 - 250 pages
...x'1 in (x - ¿ж3 + ¿a? - £r'+ &c.)~". CHAPTER VII. LOGARITHMS, AND EXPONENTIAL THEOREM. 101. DEF. The logarithm of a number to a given base is the index of that power to which the base must be raised, in order to become equal to the number: so that, if a*... | |
 | John William Colenso (bp. of Natal.) - 1851 - 148 pages
...(54°) and ADB (36°). Determine AB. CHAPTER VIII. ON LOGARITHMS, AND THE EXPONENTIAL THEOREM. 131. DBF. The logarithm of a number to a given base is the index of that power to which the base must be raised^ in order to become equal to the number: so that, if ax... | |
 | Isaac Todhunter - Algebra - 1858 - 530 pages
...that XXXVIII. LOGARITHMS. 531. Suppose a" = n, then x is called the logarithm of n to the • a; thus the logarithm of a number to a given base is the index...the base must be raised to be equal to the number. The logarithm of и to the base a is written logди; thus logдii = x expresses the same relation... | |
 | Richard Dunkley Beasley - Plane trigonometry - 1858 - 144 pages
...base a. This relation is also thus expressed x = loga N. Hence we obtain the following definition. The logarithm of a number to a given base, is the...index of the power to which the base must be raised in order to be equal to the given number. 53. In the equation N= ax, let a be some constant quantity... | |
 | Isaac Todhunter - 1860 - 318 pages
...have given in the Algebra. 132. Suppose a* = n, then x is called the logarithm ofnto the base a; thus the logarithm of a number to a given base is the index...the base must be raised to be equal to the number. The logarithm of n to the base a is written logaw; thus logaw = x expresses the same relation as a*... | |
 | Robert Fowler - 1861 - 426 pages
...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 written log. 16 =... | |
 | Alfred Challice Johnson - Plane trigonometry - 1865 - 166 pages
...angles of the two triangles are supplements, the one of the other. 45 CHAPTER V. On Logarithms. Def. — The logarithm of a number to a given base is the index...equal to the number; thus, in the equation a" = N, a: is called the logarithm of N to the base a. The base most generally used is 10, so that we may say,... | |
 | John Walmsley - Logarithms - 1865 - 232 pages
...or, as it is nsual to express it, x is the logarithm of N to the base a. Hence the Definition. — The logarithm of a number to a given base is the index...to which the base must be raised to be equal to the given number. For brevity's sake we write loga N for the words the logarithm of N to the base a. So... | |
 | Thomas Kimber - Mathematics - 1865 - 302 pages
...the base b is thus expressed, log.t N = p. The logarithm of a number, therefore, may be defined to be the index of the power to which the base must be raised, that the result may be equal to that number. 190. In Briggs's tables the base chosen is 10. In this... | |
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Suppose a* =n, then x is called the logarithm of n to the böge a ; thus the logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number. The- logarithm of n to the base a is written Iog0... 
