# Laws of Logarithm

**Rule 1: Product Rule**

The logarithm of the product of numbers is the sum of logarithms of individual numbers.

**Rule 2: Quotient Rule**

The logarithm of the quotient of numbers is the difference of the logarithm of individual numbers.

**Rule 3: Power Rule**

The logarithm of an exponential number is the exponent times the logarithm of the base.

**Rule 4: Zero Rule**

The logarithm of 1 with b > 1 equals zero.

**Rule 5: Identity Rule**

The logarithm of a number that is equal to its base is just 1.

**Rule 6: Log of Exponent Rule**

The logarithm of an exponential number where its base is the same as the base of the log equals the exponent.

**Rule 7: Exponent of Log Rule**

Raising the logarithm of a number by its base equals the number.