Algebra-2

Question Analysis
This problem assesses the ability to solve exponential equations by converting bases to a common base.

Key Concept Explanation
To solve the equation, we need to express both sides with the same base. Here, both 25 and 125 can be written as powers of 5.

Step-by-step Solution
1. Rewrite the equation using the same base: and , so the equation becomes .
2. Since the bases are the same, set the exponents equal:

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