Вычислить: log3((log2 5)*(log5 8)

log₃((log₂5)*(log₅8)=log₃((log₂5)*(log₅2³)=log₃((log₂5)*(3*log₅2)==log₃(3*log₂5*log₅2)=log₃(3*log₂5*/log₂5)=log₃3=1.