It’s not that the imaginary parts are small—they’re defined on a range 2π wide (if you’re working in natural logs, and some weird width otherwise). It’s that they’re hard to interpret, and if you know (and need to know) enough to be working with them there’s little point to taking the log.
It’s not that the imaginary parts are small—they’re defined on a range 2π wide (if you’re working in natural logs, and some weird width otherwise). It’s that they’re hard to interpret, and if you know (and need to know) enough to be working with them there’s little point to taking the log.