Question

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$( {2}^{x + 4} ) - {2}^{x + 2 } = 3$
please find the value of x​

Answer 1

${2}^{x + 4} - {2}^{x + 2} = 3 \\ {2}^{x} \times {2}^{4} - {2}^{x} \times {2}^{2} = 3 \ \\ {2}^{x} ( {2}^{4} - {2}^{2} ) = 3 \\ {2}^{x} (16 - 4) = 3 \\ {2}^{x} = \frac{3}{12} \\ {2}^{x} = \frac{1}{4} \\ {2}^{ x} = {2}^{ - 2} \\ x = - 2$

hi mate

here is your answer