Log1/4(5x-x^2)+5log3 (1) <0

Question

Log1/4(5x-x^2)+5log3 (1) <0

Answer 1

Log₁/₄(5x-x²)+5log₃1<0<br>ОДЗ: 5x-x²>0, x∈(0;5)
log₁/₄(5x-x²)+5*0<0<br>log₁/₄(5x-x²)<0, 0=log₁/₄(1/4)⁰=log₁/₄1<br>log₁/₄(5x-x²)0<(1/4)<1, меняем знак неравенства<br>5x-x²>0
x∈(0:5)