Example 5.3. Find the values of .
Explore Solution 5.3.
Enter and take its logarithm.
The best we can do for the multivalued is to add .
(c) 2006 John H. Mathews, Russell W. Howell
![[Graphics:Images/ComplexFunLogarithmMod_gr_43.gif]](../Images/ComplexFunLogarithmMod_gr_43.gif){kind=small}
. . ![[Graphics:../Images/ComplexFunLogarithmMod_gr_47.gif]](../Images/ComplexFunLogarithmMod_gr_47.gif){kind=small}
and
take its logarithm.![[Graphics:../Images/ComplexFunLogarithmMod_gr_50.gif]](../Images/ComplexFunLogarithmMod_gr_50.gif){kind=small}
is
to add ![[Graphics:../Images/ComplexFunLogarithmMod_gr_51.gif]](../Images/ComplexFunLogarithmMod_gr_51.gif){kind=small}
.![[Graphics:../Images/ComplexFunLogarithmMod_gr_48.gif]](../Images/ComplexFunLogarithmMod_gr_48.gif)
![[Graphics:../Images/ComplexFunLogarithmMod_gr_49.gif]](../Images/ComplexFunLogarithmMod_gr_49.gif){kind=small}
![[Graphics:../Images/ComplexFunLogarithmMod_gr_52.gif]](../Images/ComplexFunLogarithmMod_gr_52.gif)
![[Graphics:../Images/ComplexFunLogarithmMod_gr_53.gif]](../Images/ComplexFunLogarithmMod_gr_53.gif)