Solve for x in the equation \(5^{x} \times 5^{x + 1} = 25\).
- \(-2\)
- \(\frac{-1}{2}\)
-
\(\frac{1}{2}\)
- \(2\)
The correct answer is: 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,
\(2x + 1 = 2 \implies 2x = 1\)
\(\therefore x = \frac{1}{2}\)