Solve the equation ln(x) = 2.

The solution to ln(x) = 2 is x = e^2.

To solve the equation ln(x) = 2, we first need to understand what the natural logarithm is. The natural logarithm, denoted as ln(x), is the inverse function of e^x. In other words, if we take the natural logarithm of a number x, we get the exponent that e needs to be raised to in order to get x.

So, ln(x) = 2 means that e^2 = x. We can check this by taking the exponential of both sides: e^(ln(x)) = e^2. Since e^(ln(x)) simplifies to x, we have x = e^2 as our solution.

It's important to note that the natural logarithm is only defined for positive values of x. Therefore, our solution x = e^2 is only valid for x > 0.

In summary, to solve ln(x) = 2, we take the exponential of both sides to get x = e^2. This solution is only valid for x > 0.