Correct Answer: Option C

Explanation

\(5^{x} \times 5^{x+1} = 25\)

\(5^{x} \times 5^{x+1} = 5^{2}\)

\(5^{x+x+1} = 5^{2}\), equating powers,

\(2x + 1 = 2 \implies 2x = 1\)

\(\therefore x = \frac{1}{2}\)

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