Algebra-2

Question Analysis
This question involves an exponential equation with a fourth root (a radical), requiring conversion of the radical to a rational exponent. The main focus is on using the Rational Exponent Rule and Power of a Power Rule to simplify the left-hand side, then matching bases and solving for x.

Key Concept Explanation
The Rational Exponent Rule states (for , n a positive integer). Since 25 is a power of 5 ( ), we can combine this rule with the Power of a Power Rule to rewrite the left-hand side as a power of 5, aligning it with the right-hand side (which is ).

Step-by-step Solution
1. Rewrite the fourth root as a rational exponent: .
2. Rewrite 25 as a power of 5: , so substitute into the equation:

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