Question

if 2^x+4 - 2^x+2=3, find the value of x​

Answer 1

If 2^x + 4 - 2^x + 2 = 3 , then x is equal to

Answer 2

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