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The equation you are trying to solve is:

\[
\log(x + 3) - \log(x + 1) = 1
\]

### Step-by-Step Solution:

1. **Combine the logarithms**: 
   Using the logarithmic identity \(\log(a) - \log(b) = \log\left(\frac{a}{b}\right)\), we can rewrite the left-hand side as:
   \[
   \log\left(\frac{x + 3}{x + 1}\right) = 1
   \]

2. **Eliminate the logarithm**: 
   To remove the logarithm, recall that if \(\log_b(y) = z\), then \(y = b^z\). Assuming the base of the logarithm is 10, we raise both sides as powers of 10:
   \[
   \frac{x + 3}{x + 1}

Learn how to solve the logarithmic equation log(x + 3) - log(x + 1) = 1 with step-by-step guidance. This problem explores key concepts like properties of logarithms and solving algebraic equations, ideal for students in Grades 10-12.

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