### Video Transcript

If three raised to the power π₯ is equal to 24, what is the value of π₯?

To find the value of π₯, weβre going to use the fact that for π, π, and π greater than zero, the expression π raised to the power π is equal to π is equivalent to the logarithm to the base π of π is equal to π. Comparing with the given expression that is three raised to the power π₯ is equal to 24, we have π equal to three, π is equal to the π₯ in our expression, and π is equal to 24.

If we now put these values into the logarithmic expression, we have the logarithm to the base three of 24 is equal to π₯. And hence, if three raised to the power π₯ is equal to 24, then π₯ is equal to the logarithm to the base three of 24.