To solve the equation $\log(x + 3) = 3$, we can follow these steps:

1. Rewrite the equation in exponential form. The logarithmic equation $\log(x + 3) = 3$ is in base 10, so we rewrite it as: $x + 3 = 10^3$

2. Simplify the right-hand side: $x + 3 = 1000$

3. Solve for $x$ by subtracting 3 from both sides: $x = 1000 - 3$ $x = 997$

Thus, the exact solution is $x = 997$.

Would you like more details on logarithmic equations, or do you have any other questions?

Here are some related questions you might find helpful:

1. What are the properties of logarithms?
2. How do you convert between logarithmic and exponential forms?
3. What is the natural logarithm and how is it different from base-10 logarithms?
4. How can logarithmic equations be applied in real-world scenarios?
5. How do you solve logarithmic equations with different bases?

Tip: When solving logarithmic equations, always check if the argument of the logarithm is positive, since the logarithm of a negative number is undefined in the real number system.