Algebra-1

Question Analysis
The problem requires solving an exponential equation by rewriting both sides with the same base. The bases 25 and 125 can be expressed as powers of 5, which allows us to equate 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 is because the exponential function is injective (one-to-one).

Step-by-step Solution
1. Rewrite the bases 25 and 125 as powers of 5: and .
2. Substitute these into the equation: .
3. Simplify the exponents:

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