In mathematics, the logarithm to base b is the inverse function of exponentiation with base b. That means that the … See more

Addition, multiplication, and exponentiation are three of the most fundamental arithmetic operations. The inverse of addition is subtraction, and the inverse of multiplication is division. Similarly, a logarithm i… See more

Given a positive real number b such that b ≠ 1, the logarithm of a positive real number x with respect to base b is the exponent by which b must be raised to yield x. In other words, the logarithm of x to base b is the unique rea… See more

Several important formulas, sometimes called logarithmic identities or logarithmic laws, relate logarithms to one another.
The logarithm of a product is the sum of the logarithms of the numbers being multiplied; the logarith… See more

Among all choices for the base, three are particularly common. These are b = 10, b = e (the irrational mathematical constant e ≈ 2.71828183 ), and b = 2 (the binary logarithm). In mathematical analysis, the logarithm b… See more