Question

Решите логарифмическое неравенство

Answer 1

$log_{x-3}(x^2-12x+36) leq 0\\log_{x-3}(x-6)^2 leq 0; ,; ; ; ; ODZ:; (x-6)^2 textgreater 0; ; to ; ; xne 6\\(x-3-1)((x-6)^2-1) leq 0\\(x-4)(x^2-12x+35) leq 0\\(x-4)(x-5)(x-7) leq 0\\---(4)+++(5)---(6)---(7)+++\\xin [, 4,5, ]cup [, 7,+infty )$