Question 315284
*[Tex \LARGE x=2^{-(y-2)}]



*[Tex \LARGE ln(x)=ln(2^{-(y-2)})]



*[Tex \LARGE ln(x)=-(y-2)ln(2)]



*[Tex \LARGE ln(x)=-y ln(2)+2ln(2)]



*[Tex \LARGE ln(x)=-y ln(2)+ln(2^2)]



*[Tex \LARGE ln(x)=-y ln(2)+ln(4)]



*[Tex \LARGE ln(x)-ln(4)=-y ln(2)]



*[Tex \LARGE ln(\frac{x}{4})=-y ln(2)]



*[Tex \LARGE -\frac{ln(\frac{x}{4})}{ln(2)}=y]



*[Tex \LARGE y=-\frac{ln(\frac{x}{4})}{ln(2)}]



*[Tex \LARGE y=-\log_{2}\left(\frac{x}{4}\right)]