Answer
$y=e^{0.09t}$ (Green)
$y=3$ (Red)
By observation of the graph:
Solution: $x\approx12.200$. It is just a visual approximation.
Algebraically:
$x=12.207$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/2ba504c4-a0ab-4ce8-b09d-22ea30727983/result_image/1564207534.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T012032Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=e428144e67bde097fd9bdfeb9158b7116820694c710869eaa7a94048573488f2)
Work Step by Step
$e^{0.09t}=3$
$\ln e^{0.09t}=\ln3$
$0.09t=\ln3$
$x=\frac{\ln3}{0.09}=12.207$