Algebra-1

Question Analysis
This question requires the student to solve an exponential equation by expressing both sides with the same base. The key is to recognize that 81 and 27 can both be written as powers of 3.

Key Concept Explanation
The fundamental principle is that if two exponential expressions with the same base are equal, their exponents must be equal. Here, we need to express 81 and 27 as powers of 3.

Step-by-step Solution
1. Rewrite 81 and 27 as powers of 3: and .
2. Substitute these into the equation: .
3. Since the bases are the same, set the exponents equal:

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