Answer
-0.725
Work Step by Step
We are given the equation $6^{-x+1}=22$. In order to solve, we must first take the natural log of both sides.
$ln(6^{-x+1})=ln(22)$
$(-x+1)ln(6)=ln(22)$
Divide both sides by $ln(6)$.
$-x+1=\frac{ln(22)}{ln(6)}$
Subtract 1 from both sides.
$-x=\frac{ln(22)}{ln(6)}-1$
Multiply both sides by -1.
$-x=-\frac{ln(22)}{ln(6)}+1\approx-0.725$
