Question

2 power x + 2 + 2 power minus 6 equal to 6

Answer 1

${2}^{x + 2} + 2^{ - x} = 6 \\ or. \: {2}^{2x + 2} + 1 = 2^{x} \times 6 \\ or. \: {2}^{x} (4 - 6) = - 1 \\ or. \: {2}^{x} = \frac{ - 1}{ - 2} \\ or. \: {2}^{x} = {2}^{ - 1} \\ so..x = - 1....(ans)$
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