Special sequence and series

find ln(–256.7).

ln(-256) = 5.54 +  πi

Step-by-step explanation:

We have to find ln(-256)

This question belongs to the complex domain which says

ln(-1)= πi

So ln(-256)= ln(256*(-1))

And we know that ln(a*b)= ln(a)+ln(b)

So, ln(256*(-1))= ln(256)+(ln-1)

as ln(-1)= πi, putting value and finding ln(256) we get,

   ln(256*(-1)) = 5.54 +  πi

Step-by-step explanation:

In the real domain, is undefined for .

And because most of the calculators run in the real domain only so they will show an error (E) for this.

We know that .