 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.  Elementary Trigonometry - Page 84by James Hamblin Smith - 1870 - 224 pagesFull view - About this book
 | William Inwood - Interest and usury - 1913 - 376 pages
...PAGES 229-266 contain the logarithms of the natural numbers from i to 10,000. The logarithm of a number is the index of the power to which the base must be raised to be equal to the number. Thus 5 xs = s'2, where 5 is raised to the second power, and 2 is the index... | |
 | William David Pence - 1915 - 416 pages
...(* - c) EXPLANATION OF TABLES. TABLE I. LOGARITHMS OF NUMBERS.—The logarithm of any number to any base is the index of the power to which the base must be raised to equal the number. The logarithms given in Table I are Briggs or Common Logarithms in which the base... | |
 | William David Pence, Milo Smith Ketchum - Surveying - 1915 - 418 pages
...(S - c) EXPLANATION OF TABLES. TABLE I. LOOAEITHMS OF NUMBERS.— The logarithm of any number to any base is the index of the power to which the base must be raised to equal the number. The logarithms given in Table I are Briggs or Common Logarithms in which the base... | |
 | Clement Mackrow - Naval architecture - 1916 - 766 pages
...Sigma. TT Tau. T v Upsilon. * (f> Phi. X x Chi. •y <f> Psi. na Omega. LOGARITHMS. 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 become equal to the given number. Thus, if a' = N, x is called the logarithm of N to base... | |
 | Henry Sinclair Hall - 1918 - 382 pages
...of (1-ж)-2. 63. The 7th term of CHAPTER XXXVIII. LOGARITHMS. 425. DEFINITION. The logarithm of any number to a given base is the index of the power to which the base must be raised in order to equal the given number. Thus if a* = N, ж is called the logarithm of N to the base a.... | |
 | Joseph Henry Whitwam - Textile fabrics - 1920 - 456 pages
...or Jogl09-l = 0-96, and in general if 10х = у we say Iogl0y=a;. 38. Definition of Logarithm. — The logarithm of a number to a given base is the index of the power to which the base must be raised to produce the number. Or, if a number N can be expressed in the form ax, the index x is called the logarithm... | |
 | William Neville Rose - Mathematics - 1920 - 542 pages
...called) must be the same as those connecting indices. In general : The logarithm of a number to a certain base is the index of the power to which the base must be raised to equal the number. It is not necessary to understand the theory of logs to be able to use them for ordinary... | |
 | Walter Gustav Borchardt - Arithmetic - 1921 - 260 pages
...is called the logarithm of N to the base a ; the equation may be written x = Iog0 N. DBF. — Tfie logarithm of a number to a given base is the index of the power to which the base must be raised to equal the number. Since 3' = 81 .-. Iog381 = 4 2s = 32 .-. Iog232 = 5 a°=l .-. log0l =0 al = a .-.... | |
 | William Johnston Kearton, George Wood - Graphic methods - 1924 - 258 pages
...2-2 -1 2-1 i 2. 0 2° 1 1 2i 2 2 V4 3 22 8 00 2" ос Hence we have 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 to produce the number. Then, if ax = y, we can state that x is the logarithm of y to the base a, or that... | |
 | W. G. Borchardt, A. D. Perrott - Trigonometry - 1928 - 492 pages
...N, then a? is called the logarithm of N to the base a, and the equation may be written « = logaN. DEF. The logarithm of a number to a given base is...index of the power to which the base must be raised to equal the number. 4" = 64 .-.log« 64 =3 7* = 2401 .-.Iog72401 = 4. Since a° = l .'. logal =0, .'.... | |
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