Vrijeme: 10:11

Recite ne Lagrangeovim multiplikatorima #5

Neka su a,b,c\in \langle 1,\infty\rangle. Odredite minimalnu vrijednost izraza \log_a \frac{3(b^4+c^4)}{2(b^2+bc+c^2)}+\log_b \frac{3(a^4+c^4)}{2(a^2+ac+c^2)}+\log_c \frac{3(b^4+a^4)}{2(b^2+ab+a^2)}.