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. Surveying Manual ; a Surveying - Page 382by William David Pence - 1915 - 388 pagesFull view - About this book
| Isaac Todhunter - Algebra - 1858 - 528 pages
...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
...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
...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 =... | |
| Alfred Challice Johnson - Plane trigonometry - 1865 - 166 pages
...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.... | |
| John Walmsley - Logarithms - 1865 - 232 pages
...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... | |
| 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... | |
| Isaac Todhunter - Algebra - 1866 - 614 pages
...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 base a is written logam; thus loga?i = x expresses... | |
| Isaac Todhunter - Plane trigonometry - 1866 - 216 pages
...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. n : thus if a* = n, then x... | |
| Arthur Stokes - Trigonometry - 1868 - 170 pages
...sin'Л, cosЗЛ = 4 cos*A - 3 eos A. CHAPTER X. LOGARITHMS. 83. Def. 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 equal the given number. Thus if a' = m, x is the index to which a has to be raised in order... | |
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