$If 5^{x^{2} - 4 x + 3} = 1, then x =$

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3 or 4

1 or 4

1 or 3

8 or 7

answer is A.

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Detailed Solution

$\begin{array}{l} 5^{x^{2} - 4 x + 3} = 1 = 5^{\circ} \\ \Rightarrow x^{2} - 4 x + 3 = 0 \\ \to (x - 3) (x - 1) = 0 \\ \to x = 1 or x = 3 \end{array}$

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