Answer
$y=10-4\ln(x-2)$ (Green)
By observation of the graph:
Solution: $x\approx14.100$. It is just a visual approximation.
Algebraically:
$x=14.182$
Work Step by Step
$10-4\ln(x-2)=0$
$10=4\ln(x-2)$
$2.5=\ln(x-2)$
$e^{2.5}=e^{\ln(x-2)}$
$x-2=e^{2.5}$
$x=2+e^{2.5}=14.182$