rozwiąż nierowność Paula: log2 x + log2 (x+1) <1

think: log₂x + log₂(x + 1) < 1 log₂x(x + 1) < log₂2 x(x + 1) < 2

irena_1: log₂x+log₂(x+1)<1 x>0 log₂x(x+1)<1 2>1 x(x+1)<2¹ x²+x<2 x²+x−2<0 Δ=1+8=9 x₁=−2, x₂=1 x ∊ (−2; 1) i x>0 x ∊ (0; 1)

Paula: log3 (2x−1) + log3x >1 log (x−1)² −2 log x >0