### Video Transcript

Use the calculator to find the value of ๐ฅ for which nine to the power of ๐ฅ equals eight. Give your answer to two decimal places.

In order to solve this problem, weโll use the property that if ๐ to the power of ๐ฅ is equal to ๐, then ๐ฅ is equal to log ๐ to the base ๐. In our case, weโre asked to solve nine to the power of ๐ฅ equals eight. This means that ๐ฅ is equal to log eight to the base nine. Typing this into the calculator gives us a value of ๐ฅ of 0.95 to two decimal places.

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