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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.

Solve for x. Give an exact answer. log(x + 3) = 3

Learn how to solve the logarithmic equation log(x + 3) = 3 with a detailed, step-by-step explanation. This problem covers logarithmic and exponential conversions, ideal for high school students in Grades 10-12.

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