Question

2^x-2×3^2x-6=36,find of price X.

Answer 1

${2}^{x - 2} \times {3}^{2x - 6} = 36 \\ \\ {2}^{x - 2} \times {3}^{2x - 6} = 2 \times 2 \times 3 \times 3 \\ \\ {2}^{x - 2} \times {3}^{2x - 6} = {2}^{2} \times {3}^{2} \\ \\ \frac{ {2}^{x - 2} \times {3}^{2x - 6}}{ {2}^{2} \times {3}^{2} } = 0 \\ \\ {2}^{x - 4} \times {3}^{2x - 8} = 0 \\ {2}^{x - 4} \times {3}^{2(x - 4)} = 0 \\ {2}^{x - 4} \times {9}^{x - 4} = 0 \\ {(2 \times 9)}^{x - 4} = 0 \\ {18}^{x - 4} = 0$