SOLUTION: HOW TO DETERMINE i2=−1 FROM THE EULER`S EQUATION USING LOGARITHM/WITHOUT LOGARITHM? PLEASE TELL ME IN DETAILS.

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Question 389436: HOW TO DETERMINE i2=−1 FROM THE EULER`S EQUATION USING LOGARITHM/WITHOUT LOGARITHM? PLEASE TELL ME IN DETAILS.
Found 2 solutions by richard1234, Edwin McCravy:
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
by definition. Or, we use Euler's formula:



Letting ,



Squaring both sides,



This implies .
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

 by definition of i

By Euler's equation:



Substitute p
 for q







Go back to Euler's equation.



Substitute 
 for q







Square both sides:







-----------------------
 From the first part we have



and from the last part we have



So  because things equal to the 

same thing are equal to each other

Edwin
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