Log8 (x-2) - log8 (x-3) <2/3

ОДЗ x-2>0 U x-3>0⇒x>2 U x>3⇒x>3

(x-2) / (x-3) <√8³

(x-2) / (x-3) <8√2

(x-2-8√2x+24√2) / (x-3) <0

(24√2-x (8√2-1)) / (x-3) <0

24√2-x (8√2-1) = 0⇒x = (8√2-1) / 24√2=2 (8√2-1) / 48

x-3=0⇒x=3

x∈[2 (8√2-1) / 48; 3) U x>3

нет решения