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    Logarithm - Wikipedia

    • In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number. For example, the logarithm of 1000 to base 10 is 3, because 1000 is 10 to the 3rd power: 1000 = 10 = 10 × 10 × 10. More generally, if x = b , then y is the logarithm of x to base b, written logb x, so log10 1000 = 3. As a single-vari… See more

    Motivation

    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

    Definition

    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

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