The equation $e^x = 1$ can be solved as follows:

1. We know that $e^x = 1$ when $x = 0$, since $e^0 = 1$.

Thus, the solution is:

$x = 0$

Would you like more details or have any questions?

Here are 5 related questions:

1. What is the general form of exponential equations?
2. How do we solve $e^x = 2$?
3. What are the properties of the natural exponential function $e^x$?
4. How do logarithms relate to exponential functions?
5. Can you explain the graph of $e^x$ and how it behaves?

Tip: In general, if $e^x = a$, you can solve for $x$ using the natural logarithm: $x = \ln(a)$.