Question

с подробным решением пожалуйста

Answer 1

$log_2x\cdot log_2\left ( 6-x \right )+4\leq log_2\left ( x^4-12x^3+36x^2 \right )\\log_2x\cdot log_2\left ( 6-x \right )+4\leq log_2\left ( x^2\left ( x-6 \right )^6 \right )\\x\in \left ( 0,6 \right )\Rightarrow log_2x\cdot log_2\left ( 6-x \right )+4\leq 2log_2x+2log_2\left ( 6-x \right )\\\left ( log_2x-2 \right )log_2\left ( 6-x \right )+-2\left (log_2x -2 \right )\leq 0\\\left ( log_2x-2 \right )\left ( log_2\left ( 6-x \right )-2 \right )\leq 0$

$x\in \left ( 0,2 \right ]\cup \left [ 4,6\right )$

Answer 2

Ответ:

Объяснение

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