Solve the equation e^x = 100.

The solution to the equation e^x = 100 is x = ln(100) ≈ 4.605.

To solve this equation, we need to isolate x on one side of the equation. We can do this by taking the natural logarithm of both sides, since ln(e^x) = x for any value of x. This gives us:

ln(e^x) = ln(100)

x = ln(100)

Using a calculator, we can evaluate ln(100) to be approximately 4.605. Therefore, the solution to the equation e^x = 100 is x = ln(100) ≈ 4.605.

It's worth noting that this equation has only one solution, since the exponential function e^x is a one-to-one function. This means that for any value of y, there is only one value of x such that e^x = y. In other words, the graph of e^x is always increasing and never crosses the same horizontal line twice.