Question

What is the solution to the equation below? Round your answer to two decimal places. 8•9^x = 35.68A. x= 0.73B. x= 0.68C. x= 1.50D. x= 1.47

Answer 1

we have the equation

`\begin{gathered} 8*9^x=35.68 \\ solve\text{ for x} \\ 9^x=(35.68)/(8) \end{gathered}`

Apply log on both sides

`\begin{gathered} log(9^x)=log((35.68)/(8)) \\ \\ xlog(9^)=log((35.68)/(8)) \\ \\ x=(log((35.68)/(8)))/(log(9^)) \\ x=0.68 \end{gathered}`

The answer is option B