Final answer:
To evaluate the expression log₃3², we recognize that 3² equals 9. The logarithm of 9 with base 3 is 2.
Step-by-step explanation:
The given expression is log33².
We can simplify this expression by recognizing that 3² equals 9.
So, log33² is equal to log39.
Since logarithm is the exponent to which the base must be raised to obtain the given number, we can rewrite this as 3x = 9, where x is the logarithm we are trying to find.
Raising 3 to what power gives us 9? It is 2. Therefore, log39 = 2.