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}