Chapter 4 - Section 4.2 - Exponential Functions - 4.2 Exercises - Page 412: 102

$x\approx0.7$ and $x=0$

Here, we have to graph functions on the two sides of the equation. $6^{-x}=1-x$ So by graphing the functions $f(x)=6^{-x}$ (in green) and $g(x)=1-x$ (in blue), we can see that, there are two intersection points, therefore there will be two solutions. These are: $x\approx0.7$ and $x=0$