 Suppose that 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 equal to the number. The logarithm of n to the base a is written log.  Textile Calculations, Manufacture and Mechanism - Page 79by Joseph Henry Whitwam - 1920 - 427 pagesFull view - About this book
 | 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*... | |
 | Stephen Chase - Algebra - 1849 - 348 pages
...(§23. d), of the system. Hence, for a given base, § 312. The logarithm of any number is the exponent of the power to which the base must be raised, to produce that number. Thus, 2 is the logarithm of 100 to the base 10 ; because ~2 is the exponent of the power... | |
 | George Wirgman Hemming - 1851 - 176 pages
...the logarithm of the number N to the base a ; that is, the logarithm of any number to a given base is the power to which the base must be raised to produce the number. This is commonly expressed by the equation x=logaN 32. When the logarithms of numbers to any given... | |
 | 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 of the power to which 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... | |
 | 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 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 logaw; thus logaw = x expresses... | |
 | 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 = : log. 8... | |
 | 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 of the power 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... | |
 | 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" = N, a: is called the logarithm of N to the base a.... | |
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