 Suppose 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...  School Algebra - Σελίδα 283των William Ernst Paterson - 1908 - 604 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | John William Colenso (bp. of Natal.) - 1849 - 250 σελίδες
...x'1 in (x - ¿ж3 + ¿a? - £r'+ &c.)~". CHAPTER VII. LOGARITHMS, AND EXPONENTIAL THEOREM. 101. DEF. The logarithm of a number to a given base is the index of that power to which the base must be raised, in order to become equal to the number: so that, if a*... | |
 | John William Colenso (bp. of Natal.) - 1851 - 148 σελίδες
...(54°) and ADB (36°). Determine AB. CHAPTER VIII. ON LOGARITHMS, AND THE EXPONENTIAL THEOREM. 131. DBF. The logarithm of a number to a given base is the index of that power to which the base must be raised^ in order to become equal to the number: so that, if ax... | |
 | Isaac Todhunter - 1858 - 530 σελίδες
...that XXXVIII. LOGARITHMS. 531. Suppose 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 - 1858 - 144 σελίδες
...base a. This relation is also thus 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 σελίδες
...have given in the Algebra. 132. Suppose 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 σελίδες
...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 =... | |
 | John Walmsley - 1865 - 232 σελίδες
...or, as it is nsual to express it, x 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... | |
 | Alfred Challice Johnson - 1865 - 166 σελίδες
...angles of the two triangles are 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.... | |
 | Thomas Kimber - 1865 - 302 σελίδες
...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 - 1866 - 618 σελίδες
...1)4)XXXVIII. LOGARITHMS. 531. Suppose 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... | |
| |
