Algebra-1

Question Analysis
This question tests the student's ability to solve an exponential equation where both sides can be expressed with the same base. The key is to recognize that 27 and 3 can both be written as powers of 3.

Key Concept Explanation
The core principle is that if two exponential expressions with the same base are equal, their exponents must also be equal. This is because the exponential function is one-to-one.

Step-by-step Solution
1. Rewrite 27 as a power of 3: .
2. Substitute this into the equation: .
3. Simplify the left side using the power of a power property:

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