Algebra-1

Question Analysis
This question tests the student's ability to solve exponential equations by converting both sides to the same base and then equating the exponents.

Key Concept Explanation
The key concept is that if two exponential expressions with the same base are equal, their exponents must be equal. This involves rewriting the bases using properties of exponents.

Step-by-step Solution
1. Rewrite the bases 81 and 27 as powers of 3: and .
2. Substitute these into the equation: .
3. Simplify the exponents: .
4. Equate the exponents:

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