In mathematics, the logarithm is the inverse function to exponentiation. That means that the logarithm of a number x to the base b is the exponent to which...

numbers b, in terms of exponential and logarithm function. Specifically, the fact that the natural logarithm ln(x) is the inverse of the exponential...

for the natural logarithm of x. In pure mathematics, the notation log x generally refers to the natural logarithm of x or a logarithm in general if the...

operations of subtraction and division can be taken as basic. Subtraction is anti-commutative, meaning that if one reverses the terms in a difference left-to-right...

_{b}f(n)=\log _{b}\prod _{n=s}^{t}f(n)\quad } (the logarithm of a product is the sum of the logarithms of the factors) C ∑ n = s t f ( n ) = ∏ n = s t C...

calculated with an abacus. Logarithm tables can be used to divide two numbers, by subtracting the two numbers' logarithms, then looking up the antilogarithm...

{\text{root}}} Logarithm (log) log base ⁡ ( anti-logarithm ) = {\displaystyle \scriptstyle \log _{\text{base}}({\text{anti-logarithm}})\,=\,} logarithm {\displaystyle...

{\text{root}}} Logarithm (log) log base ⁡ ( anti-logarithm ) = {\displaystyle \scriptstyle \log _{\text{base}}({\text{anti-logarithm}})\,=\,} logarithm {\displaystyle...

to exponentiation with base b (when it is well-defined) is called the logarithm to base b, denoted logb. Thus: logb a = n. For example, log10 10,000 = 4...

{\text{root}}} Logarithm (log) log base ⁡ ( anti-logarithm ) = {\displaystyle \scriptstyle \log _{\text{base}}({\text{anti-logarithm}})\,=\,} logarithm {\displaystyle...