 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
 | R. M. Milburn - Mathematics - 1880 - 116 pages
...is 1 n \p U lr Lf LI LOGARITHMS AND LOGARITHMIC SERIES. 97. Def. Logarithm. — The logarithm of any 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. Thus, if ax=n, then x is the logarithm of n to the base a. 98. Ioga «=i.... | |
 | Thomas Kimber - 1880 - 176 pages
...= 101. У— 4= +1. у = 5 or 3. = 64 Л ж = ± 3. 11. The logarithm to a given base of any number is the index of the power to which the base must be raised to obtain the given number. Thus in the equation 64 = 26, 6 is the logarithm of 64 to the base 2 (189).... | |
 | John Charles Snowball - Trigonometry - 1880 - 256 pages
...the Logarithm of the Number n to the Base a ', or the Logarithm of a Number to a given Base is that power to which the base must be raised to give the number. If a logarithmic formula be generally true whatever may be the value of the base, the logarithms of... | |
 | George Bruce Halsted - Measurement - 1881 - 258 pages
...the sphere does not fall through ? LOGARITHMS. 133, The logarithm a of a number n to a given base b is the index of the power to which the base must be raised to give the number : So, if ba~n, then blogn = a, or the ^-logarithm of n is a. 134, blog5 =1. b log 1 = 0. 135, *logmn~-... | |
 | Alfred Challice Johnson - 1882 - 182 pages
...circles, each will be 90°. Similarly B' will be the pole of AC, and C' of AB. CHAPTER V. On Logarithms. Def. — The logarithm of a number to a given base...index of the power to which the base must be raised to be equal to the number; thus, in the equation a" = N, x is called the logarithm of N to the base a.... | |
 | Thomas Grenfell Vyvyan - 1882 - 150 pages
...log&m. The base a is always 10 in practice. The logarithm of a number to a given base is therefore the index of the power to which the base must be raised in order to obtain the number. 51. The utility of logarithms depends on the following propositions... | |
 | John Bascombe Lock - Trigonometry - 1885 - 368 pages
...The fixed number whose powers are used is called the base. Hence we have the following definition : DEF. The logarithm of a number to a given base, is the index of that power of the base, which is equal to the given number. Thus, if I be the logarithm of the number... | |
 | William Steadman Aldis - Algebra - 1887 - 616 pages
...called the logarithm of a to the base e. 619. The general definition of a logarithm may be thus given. The logarithm of a number to a given base is the index of the power to which the bose m1tst be raited to be equal to the number. that the result may be a ;^c is therefore the logarithm... | |
 | Walter William Rouse Ball - Mathematics - 1890 - 512 pages
...dismission of logarithms may be deferred for the present if the student desire it.~\ 252. Logarithm. 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, if a" = n, then x is called the logarithm of n to the base a. This is... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1891 - 606 pages
...of (1 + x + x2) be shew that ... =3" CHAPTER XVI. LOGAKITHMS. 199. 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, x is called the logarithm of N to the base a.... | |
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