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5x-4>0
x>4/5
logx²=log(5x-4)
x²=5x-4
x²-5x+4=0
x²-x-4x+4=0
x(x-1)-4(x-1)=0
(x-1)(x-4)=0
x-1=0 v x-4=0
x=1 lub x=4
Odp. x∈{1, 4}