Question

х+ 6)
2.log3 (7x − 6) ≥ log3 2
3.log0,6 (2x − 1) ≥ log0,6 5
4.log 2(2х- 3) > log2 (х+ 6)

Answer 1

$1)\ \ log_6x0\\\\a=61\ \ \to \ \ \ x$

$2)\ \ log_3(7x-6)\geq log_32\ \ ,\ \ \ \ ODZ:\ 7x-60\ \ ,\ \ x\dfrac{6}{7}\\\\ a=31\ \ \to \ \ 7x-6\geq 2\ \ ,\ \ 7x\geq 8\ \ ,\ \ \boxed {\ x\geq \dfrac{8}{7}\ }\\\\\\3)\ \ log_{0,6}(2x-1)\geq log_{0,6}5\ \ ,\ \ \ ODZ:\ 2x-10\ \ ,\ \ x0,5\\\\a=0,6$

$4)\ \ log_2(2x-3)log_2(x+6)\ \ ,\ \ \ ODZ:\ \left\{\begin{array}{l}2x-30\\x+60\end{array}\right\ \ x1,5\\\\\\a=21\ \ \to \ \ 2x-3x+6\ \ ,\ \ \boxed {\ x9\ }$