Answer
$y=8e^{-\frac{2x}{3}}$ (Green)
$y=11$ (Red)
By observation of the graph:
Solution: $x\approx-0.500$. It is just a visual approximation.
Algebraically:
$x=-0.478$
Work Step by Step
$8e^{-\frac{2x}{3}}=11$
$e^{-\frac{2x}{3}}=\frac{11}{8}$
$\ln e^{-\frac{2x}{3}}=\ln\frac{11}{8}$
$-\frac{2}{3}x=\ln\frac{11}{8}$
$x=\frac{\ln\frac{11}{8}}{-\frac{2}{3}}=-0.478$
