tex] РЕШИТЬ!...

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July 2022 1 7 Report

[tex]log_{2} x \geq 1[/tex]
[tex]log_{2} x \leq 1[/tex]

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paradiseva

Verified answer

============ 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
$

Ответ: $x \geq 2$

============ 2 ============

$log_2x \geq 1\\-----------\\ x\ \textgreater \ 0\\ -----------\\ log_2x \leq log_22\\ 2\ \textgreater \ 1 \Rightarrow \\ x \leq 2\\\\
 \left \{ {{x\ \textgreater \ 0} \atop {x \leq 2}} \right. \Rightarrow x\in (0;2]$

Ответ: $x\in (0;2]$

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