1) Izbaci uljeza: a) logx+logy=log(x+y) b) logx-logy=log(x-y) c) logxn = n+logx d) log(⅟10)=-1 e) log1=10 2) Odaberi točno a) logx=1→x=10 b) logx100=2→x=2 c) log100=x→x=2 d) 3x=10→x=log10 e) 10x=2→x=log2 3) Označi točna rješenja: a) log(a2b)=2loga·logb b) log(a4:b3) =4loga:3logb c) log(a/b)=loga/logb d) log [1/(bc)]=-logb-logc e) log[10/(a2b)]=1-2loga-logb f) log[10/(x 3y]=1-3logx+logy 4) Odaberi točno: a) loga+2logb=log(a+b2) b) 1+loga=log(10a) c) -logx-2logy=log(x -1 y -2) d) loga-logb-logc=log[a/(bc)] e) loga-logb+logc=log[a/(bc)]= f) loga-logb=log(a·b) 5) Odaberi netočna rješenja: a) log 100=2 b) log 3 81=4 c) log 0,1 100=2 d) log⅓ 9=-2 e) log216+log100=160 6) Izbaci uljeza: a) 2x-1=8 →x=3 b) logx=log2→x=2 c) log2(x-2)=1→x=4 d) 2x-3 =21-2x →x=4/3 e) log1/2 x>log 1/23→x<3

Pravila računanja s logaritmima

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