If \( 5^{x}+(2 \sqrt{3})^{2 x} \geq 13^{x} \) then the solution set for \( x \) is (a) \( [2,+\i...

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If \( 5^{x}+(2 \sqrt{3})^{2 x} \geq 13^{x} \) then the solution set for \( x \) is
(a) \( [2,+\infty) \)
(b) \( \{2\} \)
(c) \( (-\infty, 2] \)
(d) \( [0,2] \)
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