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.