Решите неравенство log3(x^2+6)<log3(5x)

Question

Решите неравенство log3(x^2+6)

Answer 1

ОДЗ
{x²+6>0⇒x∈R
{5x>0⇒x>0
x∈(0;∞)
x²+6<5x<br>x²-5x+6<0<br>x1+x2=-5 U x1*x2=6
x1=-6 U x2=1
                         \\\\\\\\\\\\\\\\\\\\\\\\\\                          
           +                       _                      +
-------------------(-6)--------(0)-------(1)--------------------
                                        \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
x∈(0;1)