Ответ(ы) на вопрос:
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[latex]\displaystyle lg(x-1)\ \textless \ 2[/latex]
[latex]ODZ (x-1)\ \textgreater \ 0; x\ \textgreater \ 1[/latex]
[latex]\displaystyle lg(x-1)\ \textless \ 2[/latex]
[latex]\displaystyle x-1\ \textless \ 10^2[/latex]
[latex]\displaystyle x-1\ \textless \ 100[/latex]
[latex]\displaystyle x\ \textless \ 101[/latex]
x∈ [latex](1;101)[/latex]
[latex]\displaystyle log_2(2-x) \leq 3[/latex]
[latex]ODZ 2-x\ \textgreater \ 0; x\ \textless \ 2[/latex]
[latex]\displaystyle log_2(2-x) \leq 3 (2-x) \leq 2^3 (2-x) \leq 8 x \geq -6[/latex]
x∈ [latex][-6;2)[/latex]
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