Final answer:
The logarithm of 64 with base 4 is 3.
Step-by-step explanation:
To evaluate the expression log4 64, we need to determine the exponent to which 4 must be raised to get 64. In other words, we need to find the power that 4 must be raised to in order to obtain 64. Since 4 raised to the power of 3 is 64, the logarithm of 64 with base 4 is 3. Therefore, log4 64 = 3.