Example 5.4. Identity reveals that (a) , and (b) .
Explore Solution 5.4.
(a) Enter and take its logarithm.
(b) Enter and take its logarithm.
(c) 2006 John H. Mathews, Russell W. Howell
![[Graphics:Images/ComplexFunLogarithmMod_gr_64.gif]](../Images/ComplexFunLogarithmMod_gr_64.gif){kind=small}
, and ![[Graphics:Images/ComplexFunLogarithmMod_gr_65.gif]](../Images/ComplexFunLogarithmMod_gr_65.gif){kind=small}
. , and . ![[Graphics:../Images/ComplexFunLogarithmMod_gr_66.gif]](../Images/ComplexFunLogarithmMod_gr_66.gif){kind=small}
and
take its logarithm.![[Graphics:../Images/ComplexFunLogarithmMod_gr_67.gif]](../Images/ComplexFunLogarithmMod_gr_67.gif)
![[Graphics:../Images/ComplexFunLogarithmMod_gr_68.gif]](../Images/ComplexFunLogarithmMod_gr_68.gif)
![[Graphics:../Images/ComplexFunLogarithmMod_gr_69.gif]](../Images/ComplexFunLogarithmMod_gr_69.gif){kind=small}
and
take its logarithm.![[Graphics:../Images/ComplexFunLogarithmMod_gr_70.gif]](../Images/ComplexFunLogarithmMod_gr_70.gif)
![[Graphics:../Images/ComplexFunLogarithmMod_gr_71.gif]](../Images/ComplexFunLogarithmMod_gr_71.gif)