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March 20[edit]

What is the ith root of 2[edit]

I am looking for x where x^i = 2 Oh and how many roots are there? 148.182.26.69 (talk) 02:12, 20 March 2017 (UTC)[reply]

A countably infinite number, I do believe. --jpgordon^{𝄢𝄆 𝄐𝄇} 04:14, 20 March 2017 (UTC)[reply]

The values are e^{2kπ − i ln 2}, for any integer k. Double sharp (talk) 05:32, 20 March 2017 (UTC)[reply]

x=2⁻ⁱ. Bo Jacoby (talk) 07:31, 20 March 2017 (UTC).[reply]

@Bo Jacoby: Did you mean 2^(1/i) ? --CiaPan (talk) 09:58, 22 March 2017 (UTC)[reply]

The two expressions are equal, --JBL (talk) 12:46, 22 March 2017 (UTC)[reply]

Oh, you're right! Just missed it's an imaginary number. :) --CiaPan (talk) 12:55, 22 March 2017 (UTC)[reply]