Log⅓(5-x)≥ -2
D: 5 - x > 0
-x > -5
x < 5
D = (-oo, 5)
Log⅓(5-x)≥ log1/3 (1/3)^-2
5 - x ≤ 3^2
5 - x ≤ 9
-x ≤ 9 - 5
-x ≤ 4 /*(-1)
x ≥ -4
x ∈<-4, +oo) i D
odp. x ∈ <-4, 5)
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Log⅓(5-x)≥ -2
D: 5 - x > 0
-x > -5
x < 5
D = (-oo, 5)
Log⅓(5-x)≥ -2
Log⅓(5-x)≥ log1/3 (1/3)^-2
5 - x ≤ 3^2
5 - x ≤ 9
-x ≤ 9 - 5
-x ≤ 4 /*(-1)
x ≥ -4
x ∈<-4, +oo) i D
odp. x ∈ <-4, 5)