Algebra-2

Question Analysis
This problem assesses the ability to solve exponential equations by converting both sides to the same base and then equating the exponents.

Key Concept Explanation
When the bases are the same, the exponents must be equal. Here, we need to express 27 as a power of 3.

Step-by-step Solution
1. Rewrite 27 as a power of 3:
2. Substitute this into the equation:
3. Since the bases are the same, set the exponents equal:

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