Solve \(5^{2(x – 1)} \times 5^{x + 1} = 0.04\)
- \(\frac{1}{3}\)
- \(\frac{1}{4}\)
- \(-\frac{1}{5}\)
-
\(-\frac{1}{3}\)
The correct answer is: D
Explanation
\(5^{2(x - 1)} \times 5^{x + 1} = 0.04\)
\(5^{2x - 2} \times 5^{x + 1} = 5^{-2}\)
\(2x - 2 + x + 1 = -2\)
\(3x - 1 = -2 \implies 3x = -2 + 1 = -1\)
\(x = -\frac{1}{3}\)
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