Video: Solving Exponential Equations

Use the calculator to find the value of ๐‘ฅ for which 9^(๐‘ฅ) = 8. Give your answer to two decimal places.

00:50

Video Transcript

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

In order to solve this problem, weโ€™ll use the property that if ๐‘Ž to the power of ๐‘ฅ is equal to ๐‘, then ๐‘ฅ is equal to log ๐‘ to the base ๐‘Ž. In our case, weโ€™re asked to solve nine to the power of ๐‘ฅ equals eight. This means that ๐‘ฅ is equal to log eight to the base nine. Typing this into the calculator gives us a value of ๐‘ฅ of 0.95 to two decimal places.

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

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.