Question

Find the value of } " align="absmiddle" class="latex-formula">
for all x belongs to Real Numbers and i = √(-1).

Answer 1

Answer: cis (ln x) ; x > 0

Step-by-step explanation:

  $x^i$

$= e^{ln(x^i)}$

$=e^{i \ln(x)}$

= cos (ln x) + i sin (ln x)

AKA: cis (ln x)

NOTE: I found this following formula which you may find useful:

$A^i = x + iy$