[tex]2 {}^{ x + 2} - {2}^{x} = 96 \\ {2}^{x} \times {2}^{2} - {2}^{x} = 96 \\ {2}^{x}( {2}^{2} - 1) = 96 \\ {2}^{x} \times 3 = 96 \\ {2}^{x} = 32 \\ {2}^{x} = {2}^{5} \\ x = 5 [/tex]
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[tex]2 {}^{ x + 2} - {2}^{x} = 96 \\ {2}^{x} \times {2}^{2} - {2}^{x} = 96 \\ {2}^{x}( {2}^{2} - 1) = 96 \\ {2}^{x} \times 3 = 96 \\ {2}^{x} = 32 \\ {2}^{x} = {2}^{5} \\ x = 5 [/tex]