Solve the equation ln(x) = 3.

The solution to ln(x) = 3 is x = e^3.

To solve the equation ln(x) = 3, 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) = 3 means that e^3 = x. We can check this by taking the natural logarithm of both sides:

ln(e^3) = ln(x)

3 = ln(x)

Therefore, x = e^3.

It's important to note that the natural logarithm is only defined for positive values of x. This is because e^x is always positive, so we can only take the natural logarithm of positive numbers.

In summary, to solve the equation ln(x) = 3, we simply take the exponential of both sides to get x = e^3.