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============ 1 ============
![log_2x \geq 1\\-----------\\ x\ \textgreater \ 0\\ -----------\\ log_2x \geq log_22\\ 2\ \textgreater \ 1 \Rightarrow \\ x \geq 2\\\\
\left \{ {{x\ \textgreater \ 0} \atop {x \geq 2}} \right. \Rightarrow x \geq 2
log_2x \geq 1\\-----------\\ x\ \textgreater \ 0\\ -----------\\ log_2x \geq log_22\\ 2\ \textgreater \ 1 \Rightarrow \\ x \geq 2\\\\
\left \{ {{x\ \textgreater \ 0} \atop {x \geq 2}} \right. \Rightarrow x \geq 2](https://tex.z-dn.net/?f=log_2x+%5Cgeq+1%5C%5C-----------%5C%5C+x%5C+%5Ctextgreater+%5C+0%5C%5C+-----------%5C%5C+log_2x+%5Cgeq+log_22%5C%5C+2%5C+%5Ctextgreater+%5C+1+%5CRightarrow+%5C%5C+x+%5Cgeq+2%5C%5C%5C%5C%0A+%5Cleft+%5C%7B+%7B%7Bx%5C+%5Ctextgreater+%5C+0%7D+%5Catop+%7Bx+%5Cgeq+2%7D%7D+%5Cright.+%5CRightarrow+x+%5Cgeq+2%0A)
Ответ:![x \geq 2 x \geq 2](https://tex.z-dn.net/?f=x+%5Cgeq+2)
============ 2 ============
![log_2x \geq 1\\-----------\\ x\ \textgreater \ 0\\ -----------\\ log_2x \leq log_22\\ 2\ \textgreater \ 1 \Rightarrow \\ x \leq 2\\\\
\left \{ {{x\ \textgreater \ 0} \atop {x \leq 2}} \right. \Rightarrow x\in (0;2] log_2x \geq 1\\-----------\\ x\ \textgreater \ 0\\ -----------\\ log_2x \leq log_22\\ 2\ \textgreater \ 1 \Rightarrow \\ x \leq 2\\\\
\left \{ {{x\ \textgreater \ 0} \atop {x \leq 2}} \right. \Rightarrow x\in (0;2]](https://tex.z-dn.net/?f=log_2x+%5Cgeq+1%5C%5C-----------%5C%5C+x%5C+%5Ctextgreater+%5C+0%5C%5C+-----------%5C%5C+log_2x++%5Cleq++log_22%5C%5C+2%5C+%5Ctextgreater+%5C+1+%5CRightarrow+%5C%5C+x++%5Cleq++2%5C%5C%5C%5C%0A+%5Cleft+%5C%7B+%7B%7Bx%5C+%5Ctextgreater+%5C+0%7D+%5Catop+%7Bx+%5Cleq+2%7D%7D+%5Cright.+%5CRightarrow+x%5Cin+%280%3B2%5D)
Ответ:![x\in (0;2] x\in (0;2]](https://tex.z-dn.net/?f=x%5Cin+%280%3B2%5D)
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============ 2 ============
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