$\"\"$

The logarithm equation is $\"\"$ .

Change of base formula is $\"\"$ .

$\"\"$

$\"\"$ and $\"\"$ .

Case 1 :

$\"\"$

Case 2 :

$\"\"$

Definition of logarithm : $\"\"$ if and only if $\"\"$ .

$\"\"$

The value of $\"\"$ is $\"\"$ .

$\"\"$

The value of $\"\"$ is $\"\"$ .