If $3^{x+8} = 27^{2x+1}$, then the value of $x$ is

- To solve exponential equations, express both sides with the same base if possible. - Use the property $ (a^m)^n = a^{mn}$. - If $a^m = a^n$ and $a \neq 0, 1, -1$, then $m=n$. - Solve the resulting linear equation.