Final answer:
To evaluate log5 5⁴, we use the fundamental property of logarithms; since the base and the argument have the same number, answer is simply the exponent, which is 4.
Step-by-step explanation:
To evaluate the expression log5 5⁴, we need to understand the fundamental property of logarithms, particularly when the log base and the argument (the number we are taking the log of) have the same base. In this case, the base of the log and the argument is 5. The question is essentially asking, "To what power must we raise 5 to get 5⁴?" Since 5 to the power of 4 is 5⁴, the answer to this question is 4.
Remember, log base b of b raised to the power of x equals x and can be written as:
logb(bx) = x
Thus, the answer to the expression log5 5⁴ is 4.