What is the outcome of applying the Power Rule to logb(x^k)?

Applying the Power Rule to logarithms states that when taking the logarithm of a variable raised to a power, you can bring the exponent in front of the logarithm. In this instance, when you have logb(x^k), the Power Rule allows you to express this as k * logb(x).

This transformation is rooted in the logarithmic identity which states that logb(a^c) = c * logb(a). Here, 'a' is 'x', and 'c' is 'k', so following this identity leads to the conclusion that logb(x^k) = k * logb(x).

Understanding this property of logarithms is crucial for simplifying expressions and solving equations that involve logarithmic functions, especially in higher-level math topics.