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" 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 84
by James Hamblin Smith - 1870 - 224 pages
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The elements of plane trigonometry

John Charles Snowball - 1837 - 322 pages
...the logarithm of the number n to the base a ; or, the logarithm of a number to a given base is that power to which the base must be raised to give the number. If a logarithmic formula be generally true, whatever value the base may be of, the logarithms of the...
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The elements of algebra, Volume 2

John William Colenso (bp. of Natal.) - 1849 - 254 pages
...and 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*...
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Plane trigonometry. [With] Solutions of examples. Appendix &c., to adapt the ...

John William Colenso (bp. of Natal.) - 1851
...= .2471663, tan 13 54' = .2474750? CHAPTER VIII. ON LOGARITHMS, AND THE EXPONENTIAL THEOREM. 131. 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"...
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Plane trigonometry. [With] Solutions of examples

John William Colenso (bp. of Natal.) - 1851
...(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...
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Arithmetic and Algebra in Their Principles and Application ...

Barnard Smith - 1857 - 742 pages
...to the BASE a ; hence the following definition : " The Logarithm of a number to a given base is that power to which the base must be raised to give the number." The logarithm of N to the base a is thus expressed, log. N. The logarithm of any number depends upon...
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Algebra

Isaac Todhunter - Algebra - 1858 - 496 pages
...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...
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An elementary treatise on plane trigonometry

Richard Dunkley Beasley - Plane trigonometry - 1858 - 106 pages
...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...
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Plane Trigonometry ...

Isaac Todhunter - 1860
...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...
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The elements of algebra. [With] Answers

Robert Fowler - 1861
...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 =...
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An Introduction to Plane and Spherical Trigonometry

Alfred Challice Johnson - Plane trigonometry - 1865 - 166 pages
...and 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...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....
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