How to get exact values from evaluating a (complex number) expression?

For example, when input log(1-i), I want it to return ln(sqrt(2))-pi*i/4, not its numerical approximation.

[Karan Nandankar]

Hi,

You can use Symbolic expressions as a workaround for such evaluations. Although, I was not able to get the answer in 'sqrt' format, but imaginary part comes out in terms of 'pi'.

>> sym(log(1-i))

ans =
 
390207173010335/1125899906842624 - (pi*1i)/4

Here's the link to the documentation,

Symbolic Arithmatic