Question

Determine if the following equations are equal by evaluating both sides

Answer 1

Answer:

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

Step-by-step explanation:

The given equation is

$\log((1-i)^3)=3\log(1-i)$

Taking LHS,

$LHS=\log((1-i)^3)$

Using the power property of logarithm, we get

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

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

Both sides of the given equation are equal.