Question

Oblicz


log0,2 25√5


log1/3 12-log1/3 4³√3

Answer 1

Oblicz


log0,2 25√5=log1/5 5²*5^1/2=log1/5 5^2 i 1/2
=log1/5 (1/5)^(-2 i 1/2)=-2 i 1/2


log1/3 12-log1/3 4³√3=log1/3 4*3-log1/3 4³*3^1/2=
=log1/3 4+log1/3 3-(log1/3 4³+log1/3 3^1/2)=
=log1/3 4+log1/3 (1/3)⁻¹-(3 log1/3 4+ log1/3 (1/3)^(-1/2))=
=log1/3 4+log1/3 (1/3)⁻¹-3 log1/3 4- log1/3 (1/3)^(-1/2)=
=log1/3 4 -1 -3 log1/3 4- (-1/2)=-2 log1/3 4 - 1/2