Take the log of both sides.

$$\log (3^\textit{x})=\log (17)$$

Apply the Power Property of Logarithms.

x · log(3) = log(17)

$$\textit{x}= \frac{ \log(17) }{ \log(3)}$$

Find the cubic root of both sides of the equation.

$$\textit{x}= \sqrt[3]{ 17 }$$