 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 equal to the number. The logarithm of n to the base a is written Iog0 n...  Trigonometry for Beginners: With Numerous Examples - Página 31de Isaac Todhunter - 1866 - 192 páginasVisualização completa - Sobre este livro
 | John William Colenso (bp. of Natal.) - 1849 - 250 páginas
...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 páginas
...(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 páginas
...prove 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... | |
 | Richard Dunkley Beasley - 1858 - 144 páginas
...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... | |
 | Isaac Todhunter - 1860 - 620 páginas
...coefficients in order of the expansion of (1 + x + Xs)", prove that XXXVIII. LOGARITHMS. 531. Suppose a' = n, then x is called the logarithm of n to the...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 Iog0 n ; thus... | |
 | Isaac Todhunter - 1864 - 298 páginas
...Trigonometry a chapter on these subjects, we shall repeat here what we have given in the Algebra, 132. Suppose a' = n, then x is called the logarithm of n to the...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... | |
 | Alfred Challice Johnson - 1865 - 166 páginas
...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... | |
 | John Walmsley - 1865 - 232 páginas
...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... | |
 | Isaac Todhunter - 1866 - 618 páginas
...prove that 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...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... | |
 | Isaac Todhunter - 1866 - 580 páginas
...LOGARITHMS. 531. Suppose a" = n, then x is called the logarithm ofn to the lose a; thus the logai-ithm 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 Iog0w; thus \ogan... | |
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