Solve the equation log(x) base e = 3.

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

To solve this equation, we need to understand that log(x) base e is the same as ln(x), where ln represents the natural logarithm. Therefore, we can rewrite the equation as ln(x) = 3.

To isolate x, we need to exponentiate both sides of the equation with e, which is the base of the natural logarithm. This gives us:

e^(ln(x)) = e^3

Using the property of logarithms that states e^(ln(x)) = x, we can simplify the left-hand side of the equation to get:

x = e^3

Therefore, the solution to log(x) base e = 3 is x = e^3.