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1. $5^{3 x - 7} = 3^{3 x - 7}$

Answer: Option C

Explanation:

5^{3 x - 7} = 3^{3 x} - 7 \Rightarrow \frac{5^{3 x - 7}}{3^{3 x - 7}} = 1 \Rightarrow {(\frac{5}{3})}^{3 x - 7} = {(\frac{5}{3})}^{0} \Rightarrow 3 x - 7 = 0 \Rightarrow 3 x = 7 \Rightarrow x = \frac{7}{3}

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