## College Algebra 7th Edition

$x=1.38$
To solve the given equation graphically, you have to treat each side of the equation as a function. Thus, using a graphing utility, graph the functions: $y=2^{-x}$ (blue graph) $y=x-1$ (the red graph) (refer to the image below for the graph. The point/s where the graphs intersect are the points where $2^{-x}=x-1$. The x-coordinates of these point are the solutions to the given equation. Note that the graphs intersect at the point $(1.383, 0.383)$. The x-coordinates of these points are $1.383$. Rounded-off to two decimal places, the solution to the given equation is: $x=1.38$.