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

Explanation

To solve the inequality \( \log_{(x+3)}(x^2 - x) < 1 \), we will follow these steps:

### Step 1: Identify the conditions for the logarithm
The logarithm \( \log_{(x+3)}(x^2 - x) \) is defined when:
1. \( x + 3 > 0 \) (the base must be positive)
2. \( x^2 - x > 0 \) (the argument must be positive)

From the first condition:
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