SOLUTION: What is the jth root of j? Give the exact value.

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Question 737751: What is the jth root of j? Give the exact value.
Found 3 solutions by MathLover1, Edwin McCravy, Ed Parker:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!


Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
The other tutor's answer is wrong.

Apparently, you're an electronics student who uses i for current, and 
therefore has to use j for √-1.

Sorry, I thought you wanted jj and worked that out.  I'll redo it
and put the results here later.  It's actually 4.810477381.  But
here is 



Now to continue we must find an expression for ln(j)

Euler's equation is 



Substitute 



Therefore since 



then 

Now we go back to where we were:
 = 0.2078795764

Edwin

Answer by Ed Parker(21)   (Show Source): You can put this solution on YOUR website!
I'm the same person as Edwin McCravy above. 



Let's simplify 



So we have



So we find 



Now to continue we must find an expression for ln(j)

Euler's equation is 



Substitute 



Therefore since 



then 

Now we go back to :
 

Now we go back to 

.

Edwin

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