 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
 | John Maximilian Dyer - Plane trigonometry - 1891 - 306 pages
...tables. 104. Definition. — If ax = m, x is called the logarithm of m to the base a ; in other words " the logarithm of a number to a given base is the index of the power to which that base must be raised to make it equal to the number." This is written a; = loga m. Note 1. —... | |
 | Edward Albert Bowser - Trigonometry - 1892 - 392 pages
...logarithms, and the manner of calculating them. The logarithm of a number to a given base is the exponent of the power to which the base must be raised to give the number. Thus, if a' = m, x is called the "logarithm of m to the base a," and is usually written a; = log0m, the base... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Plane trigonometry - 1893 - 434 pages
...tan (A + B) = tan (360° - G - D).] CHAPTER XIV. LOGARITHMS. 151. 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 ax=Jf, x is called the logarithm of N to the base a. Example... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1895 - 508 pages
...four places of decimals the value of CHAPTER XL. LOGARITHMS. 398. 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 ax=N,x is called the logarithm of N to the base a. Examples.... | |
 | Sidney Luxton Loney - Plane trigonometry - 1895 - 544 pages
...logarithm of N to the base a and is written loga N. The logarithm of a number to a given base is therefore the index of the power to which the base must be raised that it may be equal to the given number. E» Since 102 = 100, therefore 2 = log,0 100. Since 10»... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1897 - 548 pages
...53. The 7th term of (38 + 64x)J*1. 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, x is called the logarithm of N to the base a. EXAMPLES.... | |
 | Automobiles - 1899 - 318 pages
...FOURTH POWERS OF NUMBERS. /Logarithms.— The logarithm of a number to a given base is the , ,ndex of the power to which the base must be raised to give the number ; thus if m = a", x is the log. of m to base a. In the common " system of logs. the base is 10, or the successive values of... | |
 | Frank Castle - Mathematics - 1899 - 424 pages
...down. In logarithms all numbers are expressed by the powers of some number called the bate. DBF. — The logarithm of a number to a given base is the index showing the power to which that base must be raised to give the number. Thus if N denote any number... | |
 | Frank Castle - Mathematics - 1900 - 200 pages
...In logarithms all numbers are expressed by the powers of some number called the base. DEFINITION.— The logarithm of a number to a given base is the index showing the power to which that base must be raised to give the number. Thus, if N denote any number... | |
 | George Lisle - Accounting - 1906 - 450 pages
...elementary rules of arithmetic. If N and x be numbers, and then x is the logarithm of N to base 10, and is the index of the power to which the base must be raised in order to produce the number. Thus, if N = 1 0 0, we have 100 = 102, and 2 is the logarithm of 100... | |
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