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1 . 114x+12=54x+12

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Answer: Option C

Explanation:

11^{(4 x - 12)} = 5^{(4 x - 12)} \frac{11^{(4 x - 12)}}{5^{(4 x - 12)}} = 1 {(\frac{11}{5})}^{4 x - 12} = {(\frac{11}{5})}^{0} 4 x - 12 = 0 x = - 3