zad kolka: log(35−x³) −−−−−−−−−−−−−− >3 log(5−x)

kolka:

kalafiorowa: Dz. 35−x³>0 ∧ 5−x>0 x³<35 ∧ x<5 x<³√35 x ∊ (−∞;³√35)

log(35−x3)
	>3
log(5−x)

log(35−x³)>3log(5−x) log(35−x³)>log(5−x)³ 35−x³>5³−3*25*x+3*5*x²−x³ 35>125−75x+15x² 15x²−75x+90<0 x²−5x+6<0 Δ=25−24=1 x=2 ∨ x=3 x ∊ (2;3) x∊Dz. ⇒ x ∊ (2;3)