 | John William Colenso (bp. of Natal.) - 1849 - 250 стор.
...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 стор.
...(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... | |
 | Richard Dunkley Beasley - 1858 - 144 стор.
...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... | |
 | Robert Fowler - 1861 - 426 стор.
...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 =... | |
 | Thomas Kimber - 1865 - 302 стор.
...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 стор.
...a.1 - a/ + a/ -<•»' + + (- 1^-'«*.-, = e«. {1 -(- 1)4)XXXVIII. LOGARITHMS. 531. Suppose a" = n, then x is called the logarithm of n to the base a;...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... | |
 | Arthur Stokes - 1868 - 170 стор.
...- ten'A sin 3xí = 3 sinЛ - 4 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... | |
 | James Hamblin Smith - 1870 - 286 стор.
...into that of Addition, Division Subtraction, Involution Multiplication, Evolution Division. 136. DEF. 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. For instance, if the... | |
 | James Hamblin Smith - 1870 - 452 стор.
...digits of N are reversed, shew that N— n is divisible by 1 — 1. XXXVIII. ON LOGARITHMS. 446. DBF. 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. For instance, if the... | |
 | James Hamblin Smith - 1870 - 478 стор.
...when the digits of N are reversed, shew that Nn is divisible by rl. XXXVIII. ON LOGARITHMS. 446. DBF. The LOGARITHM of a number to a given base is the index of the power to which the base must be raised tu give the number. Thus if m - a", x is called the logarithm of m to the base a. For instance, if... | |
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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. 
