Question

Решите неравенствоооооо

Answer 1

$3^{log_3(x)}+x^{log_3(x)} textgreater 2 sqrt[4]{3} \ODZ:\x textgreater 0 \log_3(x)=t\x=3^t\3^{t^2}+3^{t^2} textgreater 2 sqrt[4]{3} \3^{t^2}=y\2y textgreater 2 sqrt[4]{3} \y textgreater sqrt[4]{3} \3^{t^2} textgreater sqrt[4]{3} \t^2 textgreater frac{1}{4}\|t| textgreater frac{1}{2} \t textgreater frac{1}{2} \t textless -frac{1}{2}$
t∈(-∞;1/2)∪(1/2;+∞)
$left { {{t textless -frac{1}{2} } atop {t textgreater frac{1}{2} }} right. left { {{log_3(x) textless -frac{1}{2} } atop {log_3(x) textgreater frac{1}{2} }} right.$
$left { {{x textless frac{ sqrt{3} }{3} } atop {x textgreater sqrt{3} }} right.$
x∈(0;$frac{ sqrt{3} }{3}$)∪($sqrt{3}$;+∞)