Respuesta :

Answer:

Yes, the both sides of the given equation are equal.

Step-by-step explanation:

The given equation is

[tex]\log((1-i)^3)=3\log(1-i)[/tex]

Taking LHS,

[tex]LHS=\log((1-i)^3)[/tex]

Using the power property of logarithm, we get

[tex]LHS=3\log(1-i)[/tex]                               [tex][\because log_ax^n=nlog_ax][/tex]

[tex]LHS=RHS[/tex]                                   [tex][\because RHS=3\log(1-i)][/tex]

Both sides of the given equation are equal.