 | Elias Loomis - Trigonometry - 1855 - 192 pages
...substituting in their stead Addition and Subtraction. All numbers are regarded as powers of some one number, which is called the base of the system; and the exponent of that power of the base which is equal to a given number, is called the logarithm of that number. The base of the common system of logarithms... | |
 | Elias Loomis - Algebra - 1855 - 356 pages
...obtain Therefore, according to the definition of logarithms, x+x' is the logarithm of NN', since x+x' is the exponent of that power of the base « which is equal to NN' ; hence PROPERTY I. The logarithm of the product of two or more factors is equal to the sum of... | |
 | Joseph Ray - Algebra - 1857 - 408 pages
...the base, which is equal to any giwn number, is called the LOGARITHM of that number. Thus, if a is the base of a system of logarithms, N any number, and x such that then x is called the logarithm of N, in the system whose base is a. For particular examples suppose... | |
 | Elias Loomis - Algebra - 1858 - 394 pages
...system of logarithms, all numbers are considered as the powers of some one number, arbitrarily assumed, which is called the base of the system ; and the exponent...Thus, if a be the base of a system of logarithms, and «'=N, then 2 is the logarithm of N; that is, 2 is the exponent of the power to which the base... | |
 | Elias Loomis - Logarithms - 1859 - 372 pages
...substituting in their stead Addition and Subtrac tion. All numbers are regarded as powers of some one number, which is called the base of the system ; and the exponent of that power of the base which is equal to a given number, is called the logarithm of that number. The base of the common system of logarithms... | |
 | Elias Loomis - Trigonometry - 1859 - 218 pages
...substituting in their stead Addition and Subtraction. All numbers are regarded as powers of some one number, which is called the base of the system ; and the exponent of that power of the base which ia equal to a given number, is called the logarithm of that number. The base of the common system of... | |
 | Charles Hutton - Mathematics - 1860 - 1020 pages
...a system of logarithm*, all numbers are considered at the of sume one number, arbitrarily assumed, which is called the BASE of the system, and the exponent...equal to any given number is called the LOGARITHM ofthat numbtr. Thus, if a be the base of a system of logarithms, N any number, and x such that N =... | |
 | Elias Loomis - Algebra - 1864 - 386 pages
...system of logarithms, all numbers are cons dered as the powers of some one number, arbitrarily assumed, which is called the base of the system ; and the exponent...Thus, if a be the base of a system of logarithms, and a'—-N, then 2 is the logarithm of N; that is, 2 is the exponent of the power to which the base... | |
 | Thomas Liddell Ainsley - 1864 - 360 pages
...system of logarithms all numbers are considered as the powers of some one number arbitrarily assumed, which is called the BASE of the system, and the exponent...given number, is called the LOGARITHM of that number. In the common system of logarithms unity is assumed to be the logarithm of 10 ; that is, 10 is the... | |
 | Charles William Hackley - Algebra - 1864 - 532 pages
...which is called tiie и» the system, and the eiponent of that power of the base which is tjualltv given number is called the LOGARITHM of that number....base of a system of logarithms, N any number, and is* that Nsca', then т is called the logarithm of N, in t\ в system whose base is a. The base of... | |
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In a system of logarithms all numbers are considered as the powers of some one number, arbitrarily chosen, which is called the base of the system, and the exponent of that power of the base which is equal to any given number, is called the logarithm of... 
