Решите log1/3 (x-2) 1/(log1/3 (x-2))+3/2 - вопрос №5797886132113232 от елен9 30.01.2022 00:45

Question

Математика: Решите log1/3 (x-2) 1/(log1/3 (x-2))+3/2

елен9 · Answer

ОДЗx-2 0⇒x 2log(1/3)(x-2)=aa 1/a+3/2(2a²-2-3a)/a 02a²-3a-2=0D=9+16=25a1=(3-5)/4=-1/2a2=(3+5)/4=2a -1/2⇒log(1/3)(x-2) -1/2⇒x-2 √3⇒x 2+√3a 2⇒log(1/3)(x-2) 2⇒x-2 1/9⇒x 2 1/9x∈(2;2 1/9) U (2+√3;∞)...

Решите log1/3 (x-2)> 1/(log1/3 (x-2))+3/2