Solve ` log_(x+3)(x^(2)-x) lt 1`.

Explanation

To solve the inequality \( \log_{(x+3)}(x^2 - x) < 1 \), we will follow a systematic approach.

### Step 1: Understand the logarithmic inequality
The inequality \( \log_{(x+3)}(x^2 - x) < 1 \) implies that:
\[ x^2 - x < (x + 3)^1 \]
This means we need to ensure that both \( x^2 - x \) and \( x + 3 \) are positive, as the logarithm is only defined for positive arguments.
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