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, with a focus on different powers of 5.

Key Concept Explanation
The core principle is that if two exponential expressions with the same base are equal, their exponents must be equal. In this case, both 25 and 125 can be expressed as powers of 5.

Step-by-step Solution
1. Rewrite 25 and 125 as powers of 5: and .
2. Substitute these into the equation: .
3. Simplify the left side using the power of a power property:

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