the set of all points $(e^{t},t)$, where $t$ is a real number, is the graph of $y =$

Answer:

$\ln x$

Explanation:

Step1: Let $x = e^{t}$ and $y=t$

Set the given coordinates equal.

Step2: Solve $x = e^{t}$ for $t$

Using the inverse - function property of exponential and logarithmic functions, if $x = e^{t}$, then $t=\ln x$. Since $y = t$, we have $y=\ln x$.