Lets Find Interval

Algebra Level 2

If log0.3(x1)<log0.09(x1)\displaystyle \log _{ 0.3 }{ \left( x-1 \right) } <\log _{ 0.09 }{ \left( x-1 \right) } , then xx lies in the interval __________.\text{\_\_\_\_\_\_\_\_\_\_}.

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