Question

If 5^(x-2) * 3^2x-3 = 135 , find the value of x.

Answer 1

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Answer 2

${5}^{x - 2} \times {3}^{2x - 3} = 135 \\ => {5}^{x - 2} \times {2}^{2x - 3} = 5 \times {3}^{3} \\ => x - 2 = 1 \: and \: 2x - 3 = 3 \\ => x = 3$