Question

проверьте логарифмическое неравенство

Answer 1

$log_{(x-1)^2}, (x^2-4x+4) textless 0\\log_{(x-1)^2}, (x-2)^2 textless 0\\ODZ:; ; left{begin{array}{c}(x-2)^2 textgreater 0\(x-1)^2 textgreater 0\(x-1)^2ne 1end{array}right ; left{begin{array}{c}xne 2\xne 1\xne 0; ,; xne 2end{array}right ; to ; ; xne 0,; xne 1,; xne 2\\((x-1)^2-1)(x^2-4x+4-1) textless 0\\(x^2-2x)(x^2-4x+3) textless 0\\x(x-2)(x-1)(x-3) textless 0\\+++(0)---(1)+++(2)---(3)+++\\xin (0,1)cup (2,3)$

Answer 2

Спасибо!