lim as x tends to 2 of (a^x + a^(3 - x) - k)/(a^(3 - x) - a^(x/2)) with a = 3 or 5

The same question, asked 2 times: 11 May 2023 S1*, 15 May 2023 S2. Every wording below, oldest first.

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Question 1
11 May 2023 S1
105 $\lim_{x \to 2} \frac{5^x + 5^{3-x} - 30}{5^{3-x} - 5^{x/2}} =$
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Question 2
15 May 2023 S2
146 $\lim_{x\to 2}\frac{3^x+3^{3-x}-12}{3^{3-x}-3^{x/2}} =$
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