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1. Linear form in logarithms: of algebraic numbers An expression of the form $$ L = \beta_1 \log \alpha_1 + \cdots + \beta_n \log \alpha_n \ . $$ Effective lower bounds for $|L|$, under the assumption that the numbers $\alpha_1,\ldots,\alpha_n$, $\beta_1,\ldots,\beta_n$ are rational or algebraic numbers and $\log ... (Mathematics) [100%] 2023-12-03 [Number theory]

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1. Logarithm: Computing logarithms is the inverse of exponentiation, as subtraction is the inverse of addition and division is the inverse of multiplication. For example, since 343 = 7 3 {\displaystyle 343=7^{3}} , then the base-7 logarithm of 343 is 3. [100%] 2023-02-07
2. Logarithm: In mathematics, the logarithm (or log) of a number x in base b is the power (n) to which the base b must be raised to obtain the number x. For example, the logarithm of 1000 to the base 10 ... [100%] 2023-02-03
3. Logarithm: In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x. (Inverse of the exponential function) [100%] 2023-01-02 [Logarithms] [Elementary special functions]...
4. Logarithm: Logarithm of a number is the exponential power to which you raise the base to obtain the number. For high school algebra, the most common logarithms are base-10 (the common log) and base e (the natural log). [100%] 2023-02-19 [Mathematics]
5. Logarithm: Logarithm, in mathematics, a word invented by John Napier to denote a particular class of function discovered by him, and which may be defined as follows: if a, x, m are any three quantities satisfying the equation ax = m, then ... [100%] 2022-09-02