2) \( \frac{9^{x}-3^{x}-6}{3^{x}-3} \)

Let's dive into the world of exponents! Did you know that you can simplify \(9^{x}\) as \((3^{2})^{x}\) or \(3^{2x}\)? This means we can rewrite the expression as \( \frac{3^{2x} - 3^{x} - 6}{3^{x} - 3} \). Now it's a lot easier to work with! When dealing with equations like these, one common mistake is forgetting to factor or simplify expressions. Here, try substituting \(y = 3^{x}\). This substitution turns the entire expression into a quadratic form: \( \frac{y^{2} - y - 6}{y - 3} \). Factoring can help uncover solutions more easily, so keep an eye out for those patterns!