Log Calculator

To find the logarithm, input the value & base of log, and click the calculate button using log calculator 

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Log Calculator

Log (Logarithm) calculator is used to calculate logarithm logbx where "b" is the base and "x" is a number. The logarithm of a number x for base b is the elevated exponent b to yield x.

What is a logarithm?

A logarithm is a mathematical operation that determines the power to which a number, called the base, must be raised to produce a given number. It essentially reverses the process of exponentiation.

More formally, if by = x, then the logarithm base b of x is y. This relationship is represented as:
logb (x) = y


  • ⁡log denotes the logarithm.
  • b is the base.
  • x is the number you're taking the logarithm of.
  • y is the exponent to which 
  • b must be raised to get x

Log base 10

Log10 calculator is a log equation solver used to calculate a log base 10 of the x number, generally lg(x) or log10(x). Log10 calculator is also known as decadic logarithm or common logarithm.

The typical logarithm of x is the power to be increased to be 10 for a value of x. Such as common logarithm of 10 is 1 and for 100 it is 2.


In which 10 is raised to such a number to get the desired value of x

Log Base 2

This log equation calculator is used to measure the log base 2 of a number x which is usually written as lb(x) or log2(x).


To get the value of x

Another term binary logarithm is also used for log base 2 calculator. To obtain the value x, the binary logarithm of x is the force to which the number 2 must be lifted.

For example logarithm of 1 will be 0, the binary logarithm of 8 is 3 and the binary logarithm of 4 is 2. It is often used in the philosophy of computer science and knowledge.

How to calculate a log?

Example 1:

What is log5 (3125) =?

The question is how many 5 there will need to be multiplied by each other to get 3125.



Hence we came to when five 5s are multiplied by each other we get the value 3125.

Log5 (3125) = 5

Example 2

Log (1000) =?

What will be the power of base 10 so the answer will be 1000?


Log (1000) = 3

Because 103 =1000

Example 3

Log2 8 =?

So what will be the power of 2 to get the value of x = 8?


As 2x2x2 = 8

Log2 8 = 3

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