### Video Transcript

Use the calculator to find the value of π₯ for which nine to the power of π₯ equals eight. Give your answer to two decimal places.

In order to solve this problem, weβll use the property that if π to the power of π₯ is equal to π, then π₯ is equal to log π to the base π. In our case, weβre asked to solve nine to the power of π₯ equals eight. This means that π₯ is equal to log eight to the base nine. Typing this into the calculator gives us a value of π₯ of 0.95 to two decimal places.

This means that nine to the power of 0.95 is equal to eight.