Question

2^x+4-2^x+2=3 then find the value of x.

Answer 1

Answer:

Here is your answer

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