Changes

*A logarithm of <math>z</math> is a complex number w such that <math>z = e^w</math> and it is denoted by <math>ln(z)</math>.  

*A logarithm of <math>z</math> is a complex number w such that <math>z = e^w</math> and it is denoted by <math>ln(z)</math>.  

*If <math>z = x+iy</math> with <math>x</math> & <math>y</math> are real numbers then natural logarithm of a complex number :  

*If <math>z = x+iy</math> with <math>x</math> & <math>y</math> are real numbers then natural logarithm of a complex number :  

<math>ln(z)= w = ln(|z|) + iarg(z) = ln(\sqrt{x^2+y^2}+itan^{-1}(\frac{y}{x}</math>                                                                                                                            adding integer multiples of <math>2\pi i</math> gives all the others.

<math>ln(z)= w = ln(|z|) + iarg(z) = ln(\sqrt{x^2+y^2}+itan^{-1}(\frac{y}{x})</math>                                                                                                                            adding integer multiples of <math>2\pi i</math> gives all the others.

*We can use COMPLEX function to convert real and imaginary number in to a complex number.

*We can use COMPLEX function to convert real and imaginary number in to a complex number.