## Logarithm calculator

We are presenting the Logarithm calculator online to calculate the logarithm of any number with any base.

- Logarithm calculator
- Antilog calculator

## Logarithm calculator

All you need to do is simply enter the base b and any number x and finally press the = button.

**[Math_m_Logarithm_Calculator]**

**Use e for scientific notation.

When the value of b^{ y} = x

Then the value of base b logarithm of the number x, log* _{b }x* =

*y*

## Anti-logarithm calculator

In order to calculate log^{-1}(y) on the calculator, enter the base b (10 is the default value, enter e for e constant), enter the logarithm value y and press the = or *calculate* button.

**[Math_m_anti_Logarithm_Calculator]**

The anti logarithm or the inverse logarithm can simply be calculated by raising the value of base b to the logarithm y.

When the value of *y* = log_{b }x

x = log_{b}^{-1}(y) = b^{ y}

### The Rule of Logarithm

#### Rule of Logarithm product

log_{b}(x × y) = log_{b}(x) + log_{b}(y)

#### Rule of Logarithm quotient

log_{b}(x / y) = log_{b}(x) – log_{b}(y)

#### Rule of Logarithm power

log* _{b}*(

*x*) =

^{y}*y*× log

*(*

_{b}*x*)

#### Rule of Logarithm base switch

log* _{b}*(

*c*) = 1 / log

*(*

_{c}*b*)

#### Rule of Logarithm base change

log* _{b}*(

*x*) = log

*(*

_{c}*x*)

*/*

*log*

*(*

_{c}*b*)