Answer
$f(x)=e^x$ becomes larger than $1,000,000,000$ when $x=20.723$.
Work Step by Step
We are asked to graph $f(x)=e^x$ and determine the place where it becomes larger than $1,000,000,000$. We can do this fairly simply by making another equation, $g(x)=1000000000$ and setting them equal to each other. We see that the intersection occurs at $x=20.723$.