SFM19613 SFM19613

24-12-2018
Mathematics

contestada

Find the value of
[tex] {x}^{i} [/tex]
for all x belongs to Real Numbers and i = √(-1).

Respuesta :

tramserran tramserran

29-12-2018

Answer: cis (ln x) ; x > 0

Step-by-step explanation:

[tex]x^i[/tex]

[tex]= e^{ln(x^i)}[/tex]

[tex]=e^{i \ln(x)}[/tex]

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

AKA: cis (ln x)

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

[tex]A^i = x + iy[/tex]

Answer Link

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