Answer
Please see the graph.
Work Step by Step
The green line is the function $y=(1/2)^x$. The purple line is $y=log_{1/2} x$.
$y=(1/2)^x$
$x=0$
$y=(1/2)^x$
$y=(1/2)^0$
$y=1$
$x=1$
$y=(1/2)^x$
$y=(1/2)^1$
$y=1/2$
$x=2$
$y=(1/2)^x$
$y=(1/2)^2$
$y=1/4$
$(0,1)$, $(1,1/2)$, and $(2,1/4)$ are on the curve of the function $y=(1/2)^x$.
$y=log_{1/2} x$
$x=1$
$y=log_{1/2} x$
$y=log_{1/2} 1$
$(1/2)^y=1$
$(1/2)^0=1$
$y=0$
$x=.5$
$y=log_{1/2} x$
$y=log_{1/2} (1/2)$
$(1/2)^y=(1/2)$
$.5^1=.5$
$y=1$
$x=.25$
$y=log_{1/2} x$
$y=log_{1/2} (1/4)$
$(1/2)^y=(1/4)$
$(1/2)^2=(1/4)$
$y=2$
$(1,0)$, $(1/2,1)$, and $(1/4,2)$ are on the curve of the function $y=log_{1/2} x$.