Question

Решите неравенства на приложенном скриншоте:

Answer 1

$7)\ \ 3^{3x-4}\leq 27\ \ ,\ \ \ 3^{3x-4}\leq 3^3\ \ \ \Rightarrow \ \ \ \ 3x-4\leq 3\ \ ,\\\\3x\leq 7\ \ ,\ \ x\leq \frac{7}{3}\ \ ,\ \ x\leq 2\frac{1}{3}\\\\x\in (-\infty ;2\frac{1}{3}\ ]$

$8)\ \ log_{1/2}(2x-2)\leq log_{1/2}x\ \ ,\ \ \ ODZ:\ \left\{\begin{array}{l}2x-20\\x0\end{array}\right\ \left\{\begin{array}{ccc}x1\\x0\end{array}\right\ \ x1\\\\0$

$9)\ \ log_3(x^2+6)0\\\\a=31\ \ \ \to \ \ \ x^2+6$