| Stephen Chase - Algebra - 1849 - 348 pages
...sometimes also the RADIX (§23. d), of the system. Hence, for a given base, § 312. The logarithm of any **number is the exponent of the power to which the base must be raised, to produce** that number. Thus, 2 is the logarithm of 100 to the base 10 ; because ~2 is the exponent of the power... | |
| George Wirgman Hemming - 1851 - 176 pages
...the logarithm of the number N to the base a ; that is, the logarithm of any number to a given base is **the power to which the base must be raised to produce the** number. This is commonly expressed by the equation x=\og a N 32. When the logarithms of numbers to... | |
| Robert Fowler - 1861 - 426 pages
...number from 0 to » 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 4 s = 16 4 1= I And these equalities may be written log. 16 = log.... | |
| Lefébure de Fourcy (M., Louis Etienne) - Trigonometry - 1868 - 350 pages
...to the law of continuity and do not reproduce all numbers. The logarithm of a number to a given base **is the exponent of the power to which the base must be raised to** become equal to the given number. 4. Since a 1 =<z, a°=l, and or°° =0, or a+°° =0, according as... | |
| Richard Wormell - Arithmetic - 1868 - 184 pages
...logarithm of 59049 to the base 3. 357. Hence tie logarithm of a number to a given base, is the index **of the power to which the base must be raised to produce the** number. 358. Any number may be taken for the base, as for example 5. Thus :— Logarithm 012345 6 Number... | |
| Richard Wormell - Arithmetic - 1868 - 178 pages
...logarithm of 59049 to the base 3. 357. Hence the logarithm of a number to a given base, is the index **of the power to which the base must be raised to produce the** number. 358. Any number may be taken for the base, as for example 5. Thus :— Logarithm 012345 6 Number... | |
| Richard Wormell - Arithmetic - 1868 - 178 pages
...logarithm of 59049 to the base 3. 357. Hence the logarithm of a number to a given base, is the index **of the power to which the base must be raised to produce the** number. 358. Any number may be taken for the base, as for example 5. Thus :— Logarithm 012345 6 Number... | |
| Lefébure de Fourcy (M., Louis Etienne) - Trigonometry - 1871 - 316 pages
...to the law of continuity and do not reproduce all numbers. The logarithm of a number to a given base **is the exponent of the power to which the base must be raised to** become equal to the given number. 4. Since a 1 =<z, a°=l, and a"" 00 =0, or a* 00 =0, according as... | |
| Webster Wells - Algebra - 1879 - 468 pages
...for 4 years and 6 months ? XLI. — LOGARITHMS. 444. The logarithm of a quantity to any given base, **is the exponent of the power to which the base must be raised to** equal the quantity. For example, if a" = m, x is the exponent of the power to which the base, a, must... | |
| Webster Wells - Algebra - 1880 - 498 pages
...for 4 years and 6 months ? XLI. — LOGARITHMS. 444. The logarithm of a quantity to any given base, **is the exponent of the power to which the base must be raised to** equal the quantity. For example, if a 1 = m, x is the exponent of the power to which the hase, a, must... | |
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