The solution to the equation is approximately $x \approx 1.895$.

Would you like a detailed explanation or have any questions?

Here are five related questions to deepen understanding:

1. How do exponential equations generally get solved?
2. What role do logarithms play in solving complex exponential equations?
3. How can equations involving different bases (like 9 and 2) be simplified?
4. What methods can be used when solving equations with multiple terms in powers of $x$?
5. How can you check if a solution satisfies the original equation?

Tip: When solving exponential equations, transforming all terms to the same base (if possible) can simplify the problem greatly.