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Solve: (log)((log)2(x/x))(x^2-10 x+22)>0...

Solve: `(log)_((log)_2(x/x))(x^2-10 x+22)>0`

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To solve the inequality \((\log_{(\log_2(\frac{x}{x}))}(x^2 - 10x + 22) > 0\), we need to follow a systematic approach. Let's break it down step by step. ### Step 1: Simplify the Logarithm First, we simplify the inner logarithm: \[ \log_2\left(\frac{x}{x}\right) = \log_2(1) = 0 \] However, since the logarithm is in the denominator, we need to ensure that the base of the logarithm is valid. The logarithm is defined when the base is greater than 0 and not equal to 1.
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