The function satisfies and . Find .
$$\\4=a*32^r\qquad(1)\\\\ 1=a*2^r\qquad(2)\\\\ \frac{4}{1}=\frac{a*32^r}{a*2^r}\\\\ 4=16^r\\\\ 4^1=4^{2r}\\\\ 2r=1\\\\ r=0.5$$