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 …

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 logarithm of y. …

Sometimes a logarithm is written without a base, like this: log (100) This usually means that the base is really 10. It is called a "common logarithm".

This free log calculator solves for the unknown portions of a logarithmic expression using base e, 2, 10, or any other desired base.

Simplify logarithmic expressions using algebraic rules step-by-step. AI may present inaccurate or offensive content that does not represent Symbolab's views. Save to Notebook!

The log calculator (logarithm) calculates the value of a logarithm with an arbitrary base.

The meaning of LOG is a usually bulky piece or length of a cut or fallen tree; especially : a length of a tree trunk ready for sawing and over six feet (1.8 meters) long.

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.

3 days ago · 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.

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