Use the change of base formula to evaluate log4 27. then convert log4 27 to a logarithm in base 2. round to the nearest thousandth.

To solve this problem you must apply the proccedure shown below:

1. You have the Change of base formula:

2. Therefore, you have:

3. To convert the original expression to a logarithm in base , you apply the same property, but with :

4. Now, simplify the expression by applying the following property:

The answers are: