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, …

Sometimes a logarithm is written without a base, like this: This usually means that the base is really 10. It is called a "common logarithm". Engineers love to use it. On a calculator it is the …

The base b logarithm of a number is the exponent that we need to raise the base in order to get the number. The logarithm of the multiplication of x and y is the sum of logarithm of x and …

Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = log b n. For example, 2 3 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log 2 8.

To calculate the logarithm of a number x with base b, enter your values below. Did we solve your problem today? The log calculator (logarithm) calculates the value of a logarithm with an …

Since taking a logarithm is the opposite of exponentiation (more precisely, the logarithmic function logb x log b x is the inverse function of the exponential function bx b x), we can derive the …

To avoid ambiguity, it is safest to use "log" to refer to base 10 logarithms and "ln" or "natural log" to refer to base e logarithms. In other words, "log (x)" typically indicates log 10 (x) and ln (x) …

A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten …

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An exponential equation is converted into a logarithmic equation and vice versa using b x = a ⇔ log b a = x. A common log is a logarithm with base 10, i.e., log 10 = log.