i Power Seen through with ln()Date: 11/25/2010 at 05:22:55 From: AMAN Subject: COMPLEX NUMBER What is the value of 1 raised to the power square root of (-1)? Date: 11/25/2010 at 06:40:03 From: Doctor Ali Subject: Re: COMPLEX NUMBER Hi Aman! Thanks for writing to Dr. Math. You can begin like this: A = 1^i Now take the natural logarithm of both sides: ln(A) = i * ln(1) Therefore, A = e^(i * ln(1)) We know that ln(1) = 0 So, A = e^(i * 0) = ... Does that make sense? - Doctor Ali, The Math Forum http://mathforum.org/dr.math/ |
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