Algebra-2

Question Analysis
This question involves solving an exponential equation where both sides have different bases (3 and 9), but one base is a power of the other. The main focus is on rewriting the "larger base" (9) as a power of the "smaller base" (3) to make the bases equal.

Key Concept Explanation
When bases are not equal but one is a power of the other (e.g., 9 is , 16 is ), we use the Power of a Power Rule: . This rule lets us rewrite the larger base as a power of the smaller base, creating a same-base equation.

Step-by-Step Solution
1. Rewrite 9 as a power of 3: .
2. Apply the Power of a Power Rule to the right side: .
3. Substitute back into the original equation:

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