As you can see below, all the logarithmic rules for the common logarithm and the natural logarithm are the same:
Common logarithm:
Natural logarithm:
This is true for any logarithm regardless of its base.
Rule
The first logarithmic rule:
The second logarithmic rule:
The third logarithmic rule:
Rule
The first logarithmic rule
The second logarithmic rule
The third logarithmic rule
Example 1
Simplify
Example 2
Simplify
Example 3
Simplify
Example 4
Simplify
Example 5
Use the logarithmic rules to simplify
Example 6
Use the logarithmic rules to simplify