 The Logarithm of a number to a given base is the index of the power to which the base must be raised to give the number. Thus if m = a", x is called the logarithm of m to the base a.  Workshop Mathematics - Page 8by Frank Castle - 1900Full view - About this book
 | John Hymers - Logarithms - 1841 - 244 pages
...of the corresponding values of n ; and a is called the base of these logarithms. 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... | |
 | 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... | |
 | 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... | |
 | Richard Dunkley Beasley - Plane trigonometry - 1858 - 144 pages
...number N to the 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... | |
 | John Hymers - Logarithms - 1858 - 292 pages
...of the corresponding values of n ; and a is called the base of these logarithms. 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 become equal to the number. The logarithm... | |
 | 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 of the power to which the base must be raised to be equal to the number. The logarithm of и to the... | |
 | 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 of the power to which the base must be raised to be equal to the number. The logarithm of n to the... | |
 | John Walmsley - Logarithms - 1865 - 232 pages
...of the number N; 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 of the power to which the base must be raised to be equal to the given number. For brevity's sake we... | |
 | 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 of the power to which the base must be raised to be equal to the number; thus, in the equation a" =... | |
 | Isaac Todhunter - Algebra - 1866 - 618 pages
...1)4)XXXVIII. LOGARITHMS. 531. Suppose a" = n, then x is called the logarithm of n to the base 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 eqiuil to the number. The logarithm of n to the... | |
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