Logarytmy anita: Znajdź u + v + w wiedząc, »e log₂(log₃(log₄ u)) = log₄(log₃(log₂ v)) = log₃(log₂(log₄ w)) = 0:

opiekacz_do_chleba: Z: u>0, log₄u>0, log₃(log₄u)>0, log₃(log₂v)>0, log₂v>0, v>0, log₂(log₄w)>0, log₄w>0, w>0 u>4, v>2, w>4 log₃(log₂(log₄ w)) = 0 log₂(log₄ w)=1 log₄w=2 w=16 log₄(log₃(log₂ v))=0 log₃(log₂ v)=1 log₂v=3 v=8 log₂(log₃(log₄ u))=0 log₃(log₄ u) = 1 log₄u=3 u=64 u+v+w=8+16+64=88