# Logarithm Calculator

## Logarithm calculator

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

1. Logarithm calculator
2. 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, logb 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 = logb x

x = logb-1(y) = b y

### The Rule of Logarithm

#### Rule of Logarithm product

logb(x × y) = logb(x) + logb(y)

#### Rule of Logarithm quotient

logb(x / y) = logb(x) – logb(y)

#### Rule of Logarithm power

logb(x y) = y × logb(x)

#### Rule of Logarithm base switch

logb(c) = 1 / logc(b)

#### Rule of Logarithm base change

logb(x) = logc(x) / logc(b)