Extra Example 1.  Investigate the complex logarithm function.

Explore Solution for Extra Example 1.

Enter the function  [Graphics:../Images/ComplexFunLogarithmMod_gr_38.gif]  and find its real and imaginary parts

[Graphics:../Images/ComplexFunLogarithmMod_gr_39.gif]




[Graphics:../Images/ComplexFunLogarithmMod_gr_40.gif]

 

 

Find the polar form of the real and imaginary parts of the logarithm function.

[Graphics:../Images/ComplexFunLogarithmMod_gr_41.gif]




[Graphics:../Images/ComplexFunLogarithmMod_gr_42.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2006 John H. Mathews, Russell W. Howell