Plotting ln(3+4i) on an Argand Diagram - Andrew's Query

[metgt4]

Homework Statement

On an Argand diagram, plot ln(3+4i)

The Attempt at a Solution

ln(3+4i)
= ln(3e^2(pi)n + 4e^{i[(pi)/2 + 2(pi)n]}
= i2(pi)n + ln(3+4e^i(pi)/2
= ?

Where do I go next with this?

Thanks!
Andrew

 

[payumooli]

ln z = ln |z| + i arg(z)

z = x + iy