kak tolong di jawab dengan benar dan rapi

[tex] \frac{2^{2x-3}}{2^{x-4}} +\frac{7}{2^{- \frac{x}{2} }} =4 \\ \\ \frac{2^{2x-3}}{2^{x-4}} +\frac{7}{2^{- \frac{x}{2} }} =2^2~~~~~~;~~2^x=a \\ \\ \frac{ \frac{a^2}{8} }{ \frac{a}{16} } + \frac{7}{ \frac{1}{ \sqrt{a} } } =4 \\ \\ 2a+7 \sqrt{a} =4 \\ \\ 2a+7-4=0 \\ \\ (\sqrt{a}+4)( 2\sqrt{a}-1) \\ \\ ~~~~ \sqrt{a} =-4 ~~~~~~~~U~~~~~~~ \sqrt{a}= \frac{1}{2} \\ \\ imaginer~~X ~~~~~~~~~~~~~~~~~~real~~~V [/tex]

[kerjakan yang real]

[tex]\sqrt{a}= \frac{1}{2} \\ \\ a^{ \frac{1}{^2} }=\frac{1}{2} \\ \\ (2^x)^\frac{1}{2} = \frac{1}{2} \\ \\ 2^\frac{x}{2}=2^{-1} \\ \\ \frac{x}{2}=-1 \\ \\ x=-2 [/tex]