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 - Side 110av James Hamblin Smith - 1870 - 224 siderUten tilgangsbegrensning - Om denne boken
| John Charles Snowball - 1837
...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... | |
| John William Colenso (bp. of Natal.) - 1849
...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*... | |
| 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"... | |
| 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... | |
| Barnard Smith - 1857
...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... | |
| Isaac Todhunter - 1858 - 496 sider
...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
...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
...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
...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 =... | |
| Alfred Challice Johnson - 1865 - 150 sider
...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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