Solve the equation e^x = 5.

The solution to the equation e^x = 5 is x = ln(5).

To solve this equation, we need to isolate x. We can do this by taking the natural logarithm of both sides of the equation:

ln(e^x) = ln(5)

Using the property of logarithms that ln(e^x) = x, we get:

x = ln(5)

Therefore, the solution to the equation e^x = 5 is x = ln(5).

It is important to note that the natural logarithm function, denoted as ln(x), is the inverse of the exponential function e^x. This means that if we take the natural logarithm of e^x, we get x. Similarly, if we take the exponential function of ln(x), we get x. This relationship is useful in solving equations involving exponential and logarithmic functions.